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Finding the Fourth Proportional to 2,798.62, 4,197.82 and 718.64

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Solution

The fourth proportional to 2,798.62, 4,197.82 and 718.64 is: 1,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.62 : 4,197.82 = 718.64 : x
  2. Step 2: Convert to fraction form
    2,798.62/4,197.82 = 718.64/x
  3. Step 3: Cross multiply
    2,798.62x = 4,197.82 × 718.64
  4. Step 4: Simplify right side
    2,798.62x = 3,016,721.36
  5. Step 5: Solve for x
    x = 3,016,721.36/2,798.62
  6. Step 6: Final answer
    x = 1,077.93

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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.