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Finding the Fourth Proportional to 3,192.66, 4,789.74 and 971.46

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Solution

The fourth proportional to 3,192.66, 4,789.74 and 971.46 is: 1,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.66 : 4,789.74 = 971.46 : x
  2. Step 2: Convert to fraction form
    3,192.66/4,789.74 = 971.46/x
  3. Step 3: Cross multiply
    3,192.66x = 4,789.74 × 971.46
  4. Step 4: Simplify right side
    3,192.66x = 4,653,040.82
  5. Step 5: Solve for x
    x = 4,653,040.82/3,192.66
  6. Step 6: Final answer
    x = 1,457.42

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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.