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Finding the Fourth Proportional to 2,252.64, 3,376.61 and 771.42

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Solution

The fourth proportional to 2,252.64, 3,376.61 and 771.42 is: 1,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.64 : 3,376.61 = 771.42 : x
  2. Step 2: Convert to fraction form
    2,252.64/3,376.61 = 771.42/x
  3. Step 3: Cross multiply
    2,252.64x = 3,376.61 × 771.42
  4. Step 4: Simplify right side
    2,252.64x = 2,604,799.47
  5. Step 5: Solve for x
    x = 2,604,799.47/2,252.64
  6. Step 6: Final answer
    x = 1,156.33

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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.