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Finding the Fourth Proportional to 1,472.56, 2,031.60 and 948.40

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Solution

The fourth proportional to 1,472.56, 2,031.60 and 948.40 is: 1,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.56 : 2,031.60 = 948.40 : x
  2. Step 2: Convert to fraction form
    1,472.56/2,031.60 = 948.40/x
  3. Step 3: Cross multiply
    1,472.56x = 2,031.60 × 948.40
  4. Step 4: Simplify right side
    1,472.56x = 1,926,769.44
  5. Step 5: Solve for x
    x = 1,926,769.44/1,472.56
  6. Step 6: Final answer
    x = 1,308.45

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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.