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Finding the Fourth Proportional to 2,588.52, 3,880.08 and 1,127.28

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Solution

The fourth proportional to 2,588.52, 3,880.08 and 1,127.28 is: 1,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.52 : 3,880.08 = 1,127.28 : x
  2. Step 2: Convert to fraction form
    2,588.52/3,880.08 = 1,127.28/x
  3. Step 3: Cross multiply
    2,588.52x = 3,880.08 × 1,127.28
  4. Step 4: Simplify right side
    2,588.52x = 4,373,936.58
  5. Step 5: Solve for x
    x = 4,373,936.58/2,588.52
  6. Step 6: Final answer
    x = 1,689.74

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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.