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Finding the Fourth Proportional to 2,585.62, 3,568.13 and 1,406.68

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Solution

The fourth proportional to 2,585.62, 3,568.13 and 1,406.68 is: 1,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.62 : 3,568.13 = 1,406.68 : x
  2. Step 2: Convert to fraction form
    2,585.62/3,568.13 = 1,406.68/x
  3. Step 3: Cross multiply
    2,585.62x = 3,568.13 × 1,406.68
  4. Step 4: Simplify right side
    2,585.62x = 5,019,217.11
  5. Step 5: Solve for x
    x = 5,019,217.11/2,585.62
  6. Step 6: Final answer
    x = 1,941.20

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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.