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Finding the Fourth Proportional to 1,472.69, 2,031.45 and 948.73

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Solution

The fourth proportional to 1,472.69, 2,031.45 and 948.73 is: 1,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.69 : 2,031.45 = 948.73 : x
  2. Step 2: Convert to fraction form
    1,472.69/2,031.45 = 948.73/x
  3. Step 3: Cross multiply
    1,472.69x = 2,031.45 × 948.73
  4. Step 4: Simplify right side
    1,472.69x = 1,927,292.17
  5. Step 5: Solve for x
    x = 1,927,292.17/1,472.69
  6. Step 6: Final answer
    x = 1,308.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.