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Finding the Fourth Proportional to 2,312.13, 3,468.19 and 773.13

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Solution

The fourth proportional to 2,312.13, 3,468.19 and 773.13 is: 1,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.13 : 3,468.19 = 773.13 : x
  2. Step 2: Convert to fraction form
    2,312.13/3,468.19 = 773.13/x
  3. Step 3: Cross multiply
    2,312.13x = 3,468.19 × 773.13
  4. Step 4: Simplify right side
    2,312.13x = 2,681,361.73
  5. Step 5: Solve for x
    x = 2,681,361.73/2,312.13
  6. Step 6: Final answer
    x = 1,159.69

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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.