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Finding the Fourth Proportional to 2,685.09, 3,705.54 and 1,565.85

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Solution

The fourth proportional to 2,685.09, 3,705.54 and 1,565.85 is: 2,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.09 : 3,705.54 = 1,565.85 : x
  2. Step 2: Convert to fraction form
    2,685.09/3,705.54 = 1,565.85/x
  3. Step 3: Cross multiply
    2,685.09x = 3,705.54 × 1,565.85
  4. Step 4: Simplify right side
    2,685.09x = 5,802,319.81
  5. Step 5: Solve for x
    x = 5,802,319.81/2,685.09
  6. Step 6: Final answer
    x = 2,160.94

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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.