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Finding the Fourth Proportional to 2,252.91, 3,381.50 and 1,158.05

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Solution

The fourth proportional to 2,252.91, 3,381.50 and 1,158.05 is: 1,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.91 : 3,381.50 = 1,158.05 : x
  2. Step 2: Convert to fraction form
    2,252.91/3,381.50 = 1,158.05/x
  3. Step 3: Cross multiply
    2,252.91x = 3,381.50 × 1,158.05
  4. Step 4: Simplify right side
    2,252.91x = 3,915,931.89
  5. Step 5: Solve for x
    x = 3,915,931.89/2,252.91
  6. Step 6: Final answer
    x = 1,738.16

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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.