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Finding the Fourth Proportional to 1,472.42, 2,031.52 and 948.76

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Solution

The fourth proportional to 1,472.42, 2,031.52 and 948.76 is: 1,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.42 : 2,031.52 = 948.76 : x
  2. Step 2: Convert to fraction form
    1,472.42/2,031.52 = 948.76/x
  3. Step 3: Cross multiply
    1,472.42x = 2,031.52 × 948.76
  4. Step 4: Simplify right side
    1,472.42x = 1,927,424.92
  5. Step 5: Solve for x
    x = 1,927,424.92/1,472.42
  6. Step 6: Final answer
    x = 1,309.02

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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.