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Finding the Fourth Proportional to 1,731.61, 2,610.31 and 1,618.75

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Solution

The fourth proportional to 1,731.61, 2,610.31 and 1,618.75 is: 2,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.61 : 2,610.31 = 1,618.75 : x
  2. Step 2: Convert to fraction form
    1,731.61/2,610.31 = 1,618.75/x
  3. Step 3: Cross multiply
    1,731.61x = 2,610.31 × 1,618.75
  4. Step 4: Simplify right side
    1,731.61x = 4,225,439.31
  5. Step 5: Solve for x
    x = 4,225,439.31/1,731.61
  6. Step 6: Final answer
    x = 2,440.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.