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Finding the Fourth Proportional to 2,139.96, 3,206.40 and 1,316.52

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Solution

The fourth proportional to 2,139.96, 3,206.40 and 1,316.52 is: 1,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.96 : 3,206.40 = 1,316.52 : x
  2. Step 2: Convert to fraction form
    2,139.96/3,206.40 = 1,316.52/x
  3. Step 3: Cross multiply
    2,139.96x = 3,206.40 × 1,316.52
  4. Step 4: Simplify right side
    2,139.96x = 4,221,289.73
  5. Step 5: Solve for x
    x = 4,221,289.73/2,139.96
  6. Step 6: Final answer
    x = 1,972.60

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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.