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Finding the Fourth Proportional to 1,731.78, 2,391.03 and 1,260.54

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Solution

The fourth proportional to 1,731.78, 2,391.03 and 1,260.54 is: 1,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.78 : 2,391.03 = 1,260.54 : x
  2. Step 2: Convert to fraction form
    1,731.78/2,391.03 = 1,260.54/x
  3. Step 3: Cross multiply
    1,731.78x = 2,391.03 × 1,260.54
  4. Step 4: Simplify right side
    1,731.78x = 3,013,988.96
  5. Step 5: Solve for x
    x = 3,013,988.96/1,731.78
  6. Step 6: Final answer
    x = 1,740.40

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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.