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Finding the Fourth Proportional to 2,438.92, 3,659.82 and 1,207

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Solution

The fourth proportional to 2,438.92, 3,659.82 and 1,207 is: 1,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.92 : 3,659.82 = 1,207 : x
  2. Step 2: Convert to fraction form
    2,438.92/3,659.82 = 1,207/x
  3. Step 3: Cross multiply
    2,438.92x = 3,659.82 × 1,207
  4. Step 4: Simplify right side
    2,438.92x = 4,417,402.74
  5. Step 5: Solve for x
    x = 4,417,402.74/2,438.92
  6. Step 6: Final answer
    x = 1,811.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.