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Finding the Fourth Proportional to 3,139.60, 4,706.59 and 1,193.17

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Solution

The fourth proportional to 3,139.60, 4,706.59 and 1,193.17 is: 1,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.60 : 4,706.59 = 1,193.17 : x
  2. Step 2: Convert to fraction form
    3,139.60/4,706.59 = 1,193.17/x
  3. Step 3: Cross multiply
    3,139.60x = 4,706.59 × 1,193.17
  4. Step 4: Simplify right side
    3,139.60x = 5,615,747.24
  5. Step 5: Solve for x
    x = 5,615,747.24/3,139.60
  6. Step 6: Final answer
    x = 1,788.68

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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.