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Finding the Fourth Proportional to 2,655.89, 3,983.84 and 1,265.01

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Solution

The fourth proportional to 2,655.89, 3,983.84 and 1,265.01 is: 1,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.89 : 3,983.84 = 1,265.01 : x
  2. Step 2: Convert to fraction form
    2,655.89/3,983.84 = 1,265.01/x
  3. Step 3: Cross multiply
    2,655.89x = 3,983.84 × 1,265.01
  4. Step 4: Simplify right side
    2,655.89x = 5,039,594.17
  5. Step 5: Solve for x
    x = 5,039,594.17/2,655.89
  6. Step 6: Final answer
    x = 1,897.52

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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.