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Finding the Fourth Proportional to 1,781.88, 2,655.06 and 1,587.90

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Solution

The fourth proportional to 1,781.88, 2,655.06 and 1,587.90 is: 2,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.88 : 2,655.06 = 1,587.90 : x
  2. Step 2: Convert to fraction form
    1,781.88/2,655.06 = 1,587.90/x
  3. Step 3: Cross multiply
    1,781.88x = 2,655.06 × 1,587.90
  4. Step 4: Simplify right side
    1,781.88x = 4,215,969.77
  5. Step 5: Solve for x
    x = 4,215,969.77/1,781.88
  6. Step 6: Final answer
    x = 2,366.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.