Home / 2,252.64-3,381-1,157.76

Finding the Fourth Proportional to 2,252.64, 3,381 and 1,157.76

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Solution

The fourth proportional to 2,252.64, 3,381 and 1,157.76 is: 1,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.64 : 3,381 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    2,252.64/3,381 = 1,157.76/x
  3. Step 3: Cross multiply
    2,252.64x = 3,381 × 1,157.76
  4. Step 4: Simplify right side
    2,252.64x = 3,914,386.56
  5. Step 5: Solve for x
    x = 3,914,386.56/2,252.64
  6. Step 6: Final answer
    x = 1,737.69

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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.