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Finding the Fourth Proportional to 4,655.36, 6,983.04 and 1,192.64

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Solution

The fourth proportional to 4,655.36, 6,983.04 and 1,192.64 is: 1,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.36 : 6,983.04 = 1,192.64 : x
  2. Step 2: Convert to fraction form
    4,655.36/6,983.04 = 1,192.64/x
  3. Step 3: Cross multiply
    4,655.36x = 6,983.04 × 1,192.64
  4. Step 4: Simplify right side
    4,655.36x = 8,328,252.83
  5. Step 5: Solve for x
    x = 8,328,252.83/4,655.36
  6. Step 6: Final answer
    x = 1,788.96

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.