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Finding the Fourth Proportional to 2,522.60, 3,758.51 and 2,381.12

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Solution

The fourth proportional to 2,522.60, 3,758.51 and 2,381.12 is: 3,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.60 : 3,758.51 = 2,381.12 : x
  2. Step 2: Convert to fraction form
    2,522.60/3,758.51 = 2,381.12/x
  3. Step 3: Cross multiply
    2,522.60x = 3,758.51 × 2,381.12
  4. Step 4: Simplify right side
    2,522.60x = 8,949,450.49
  5. Step 5: Solve for x
    x = 8,949,450.49/2,522.60
  6. Step 6: Final answer
    x = 3,547.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.