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Finding the Fourth Proportional to 1,984.93, 2,737.94 and 1,565.15

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Solution

The fourth proportional to 1,984.93, 2,737.94 and 1,565.15 is: 2,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.93 : 2,737.94 = 1,565.15 : x
  2. Step 2: Convert to fraction form
    1,984.93/2,737.94 = 1,565.15/x
  3. Step 3: Cross multiply
    1,984.93x = 2,737.94 × 1,565.15
  4. Step 4: Simplify right side
    1,984.93x = 4,285,265.28
  5. Step 5: Solve for x
    x = 4,285,265.28/1,984.93
  6. Step 6: Final answer
    x = 2,158.90

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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.