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Finding the Fourth Proportional to 1,472.28, 2,031.84 and 974.58

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Solution

The fourth proportional to 1,472.28, 2,031.84 and 974.58 is: 1,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.28 : 2,031.84 = 974.58 : x
  2. Step 2: Convert to fraction form
    1,472.28/2,031.84 = 974.58/x
  3. Step 3: Cross multiply
    1,472.28x = 2,031.84 × 974.58
  4. Step 4: Simplify right side
    1,472.28x = 1,980,190.63
  5. Step 5: Solve for x
    x = 1,980,190.63/1,472.28
  6. Step 6: Final answer
    x = 1,344.98

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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.