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Finding the Fourth Proportional to 2,689.76, 4,034.54 and 741.91

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Solution

The fourth proportional to 2,689.76, 4,034.54 and 741.91 is: 1,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.76 : 4,034.54 = 741.91 : x
  2. Step 2: Convert to fraction form
    2,689.76/4,034.54 = 741.91/x
  3. Step 3: Cross multiply
    2,689.76x = 4,034.54 × 741.91
  4. Step 4: Simplify right side
    2,689.76x = 2,993,261.86
  5. Step 5: Solve for x
    x = 2,993,261.86/2,689.76
  6. Step 6: Final answer
    x = 1,112.84

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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.