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Finding the Fourth Proportional to 2,437.74, 3,656.82 and 1,138.50

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Solution

The fourth proportional to 2,437.74, 3,656.82 and 1,138.50 is: 1,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.74 : 3,656.82 = 1,138.50 : x
  2. Step 2: Convert to fraction form
    2,437.74/3,656.82 = 1,138.50/x
  3. Step 3: Cross multiply
    2,437.74x = 3,656.82 × 1,138.50
  4. Step 4: Simplify right side
    2,437.74x = 4,163,289.57
  5. Step 5: Solve for x
    x = 4,163,289.57/2,437.74
  6. Step 6: Final answer
    x = 1,707.85

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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.