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Finding the Fourth Proportional to 2,526.57, 3,787.38 and 882

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Solution

The fourth proportional to 2,526.57, 3,787.38 and 882 is: 1,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.57 : 3,787.38 = 882 : x
  2. Step 2: Convert to fraction form
    2,526.57/3,787.38 = 882/x
  3. Step 3: Cross multiply
    2,526.57x = 3,787.38 × 882
  4. Step 4: Simplify right side
    2,526.57x = 3,340,469.16
  5. Step 5: Solve for x
    x = 3,340,469.16/2,526.57
  6. Step 6: Final answer
    x = 1,322.14

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Why These Related Problems?

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