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Finding the Fourth Proportional to 2,689.64, 4,036.02 and 1,129.52

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Solution

The fourth proportional to 2,689.64, 4,036.02 and 1,129.52 is: 1,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.64 : 4,036.02 = 1,129.52 : x
  2. Step 2: Convert to fraction form
    2,689.64/4,036.02 = 1,129.52/x
  3. Step 3: Cross multiply
    2,689.64x = 4,036.02 × 1,129.52
  4. Step 4: Simplify right side
    2,689.64x = 4,558,765.31
  5. Step 5: Solve for x
    x = 4,558,765.31/2,689.64
  6. Step 6: Final answer
    x = 1,694.94

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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.