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Finding the Fourth Proportional to 2,585.64, 3,883.98 and 2,468.16

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Solution

The fourth proportional to 2,585.64, 3,883.98 and 2,468.16 is: 3,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.64 : 3,883.98 = 2,468.16 : x
  2. Step 2: Convert to fraction form
    2,585.64/3,883.98 = 2,468.16/x
  3. Step 3: Cross multiply
    2,585.64x = 3,883.98 × 2,468.16
  4. Step 4: Simplify right side
    2,585.64x = 9,586,284.08
  5. Step 5: Solve for x
    x = 9,586,284.08/2,585.64
  6. Step 6: Final answer
    x = 3,707.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.