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Finding the Fourth Proportional to 2,585.90, 3,565.86 and 2,214.12

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Solution

The fourth proportional to 2,585.90, 3,565.86 and 2,214.12 is: 3,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.90 : 3,565.86 = 2,214.12 : x
  2. Step 2: Convert to fraction form
    2,585.90/3,565.86 = 2,214.12/x
  3. Step 3: Cross multiply
    2,585.90x = 3,565.86 × 2,214.12
  4. Step 4: Simplify right side
    2,585.90x = 7,895,241.94
  5. Step 5: Solve for x
    x = 7,895,241.94/2,585.90
  6. Step 6: Final answer
    x = 3,053.19

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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.