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Finding the Fourth Proportional to 3,402.35, 5,101.08 and 1,320.60

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Solution

The fourth proportional to 3,402.35, 5,101.08 and 1,320.60 is: 1,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.35 : 5,101.08 = 1,320.60 : x
  2. Step 2: Convert to fraction form
    3,402.35/5,101.08 = 1,320.60/x
  3. Step 3: Cross multiply
    3,402.35x = 5,101.08 × 1,320.60
  4. Step 4: Simplify right side
    3,402.35x = 6,736,500.42
  5. Step 5: Solve for x
    x = 6,736,500.42/3,402.35
  6. Step 6: Final answer
    x = 1,979.95

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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.