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Finding the Fourth Proportional to 1,731.90, 2,601.42 and 1,472.28

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Solution

The fourth proportional to 1,731.90, 2,601.42 and 1,472.28 is: 2,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.90 : 2,601.42 = 1,472.28 : x
  2. Step 2: Convert to fraction form
    1,731.90/2,601.42 = 1,472.28/x
  3. Step 3: Cross multiply
    1,731.90x = 2,601.42 × 1,472.28
  4. Step 4: Simplify right side
    1,731.90x = 3,830,018.64
  5. Step 5: Solve for x
    x = 3,830,018.64/1,731.90
  6. Step 6: Final answer
    x = 2,211.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.