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Finding the Fourth Proportional to 2,087.57, 2,880.64 and 1,248.11

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Solution

The fourth proportional to 2,087.57, 2,880.64 and 1,248.11 is: 1,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.57 : 2,880.64 = 1,248.11 : x
  2. Step 2: Convert to fraction form
    2,087.57/2,880.64 = 1,248.11/x
  3. Step 3: Cross multiply
    2,087.57x = 2,880.64 × 1,248.11
  4. Step 4: Simplify right side
    2,087.57x = 3,595,353.55
  5. Step 5: Solve for x
    x = 3,595,353.55/2,087.57
  6. Step 6: Final answer
    x = 1,722.27

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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.