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Finding the Fourth Proportional to 1,637.64, 2,259.36 and 938.61

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Solution

The fourth proportional to 1,637.64, 2,259.36 and 938.61 is: 1,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.64 : 2,259.36 = 938.61 : x
  2. Step 2: Convert to fraction form
    1,637.64/2,259.36 = 938.61/x
  3. Step 3: Cross multiply
    1,637.64x = 2,259.36 × 938.61
  4. Step 4: Simplify right side
    1,637.64x = 2,120,657.89
  5. Step 5: Solve for x
    x = 2,120,657.89/1,637.64
  6. Step 6: Final answer
    x = 1,294.95

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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.