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Finding the Fourth Proportional to 2,585.64, 3,568.07 and 1,406.71

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Solution

The fourth proportional to 2,585.64, 3,568.07 and 1,406.71 is: 1,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.64 : 3,568.07 = 1,406.71 : x
  2. Step 2: Convert to fraction form
    2,585.64/3,568.07 = 1,406.71/x
  3. Step 3: Cross multiply
    2,585.64x = 3,568.07 × 1,406.71
  4. Step 4: Simplify right side
    2,585.64x = 5,019,234.35
  5. Step 5: Solve for x
    x = 5,019,234.35/2,585.64
  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.