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Finding the Fourth Proportional to 2,585.88, 3,878.75 and 1,125.03

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Solution

The fourth proportional to 2,585.88, 3,878.75 and 1,125.03 is: 1,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.88 : 3,878.75 = 1,125.03 : x
  2. Step 2: Convert to fraction form
    2,585.88/3,878.75 = 1,125.03/x
  3. Step 3: Cross multiply
    2,585.88x = 3,878.75 × 1,125.03
  4. Step 4: Simplify right side
    2,585.88x = 4,363,710.11
  5. Step 5: Solve for x
    x = 4,363,710.11/2,585.88
  6. Step 6: Final answer
    x = 1,687.51

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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.