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Finding the Fourth Proportional to 1,301.92, 1,955.84 and 1,134.88

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Solution

The fourth proportional to 1,301.92, 1,955.84 and 1,134.88 is: 1,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.92 : 1,955.84 = 1,134.88 : x
  2. Step 2: Convert to fraction form
    1,301.92/1,955.84 = 1,134.88/x
  3. Step 3: Cross multiply
    1,301.92x = 1,955.84 × 1,134.88
  4. Step 4: Simplify right side
    1,301.92x = 2,219,643.70
  5. Step 5: Solve for x
    x = 2,219,643.70/1,301.92
  6. Step 6: Final answer
    x = 1,704.90

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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.