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Finding the Fourth Proportional to 2,585.64, 3,880.08 and 1,431.12

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Solution

The fourth proportional to 2,585.64, 3,880.08 and 1,431.12 is: 2,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.64 : 3,880.08 = 1,431.12 : x
  2. Step 2: Convert to fraction form
    2,585.64/3,880.08 = 1,431.12/x
  3. Step 3: Cross multiply
    2,585.64x = 3,880.08 × 1,431.12
  4. Step 4: Simplify right side
    2,585.64x = 5,552,860.09
  5. Step 5: Solve for x
    x = 5,552,860.09/2,585.64
  6. Step 6: Final answer
    x = 2,147.58

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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.