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Finding the Fourth Proportional to 2,434, 3,651.36 and 1,134.76

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Solution

The fourth proportional to 2,434, 3,651.36 and 1,134.76 is: 1,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434 : 3,651.36 = 1,134.76 : x
  2. Step 2: Convert to fraction form
    2,434/3,651.36 = 1,134.76/x
  3. Step 3: Cross multiply
    2,434x = 3,651.36 × 1,134.76
  4. Step 4: Simplify right side
    2,434x = 4,143,417.27
  5. Step 5: Solve for x
    x = 4,143,417.27/2,434
  6. Step 6: Final answer
    x = 1,702.31

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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.