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Finding the Fourth Proportional to 2,129.20, 3,196.40 and 1,349.20

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Solution

The fourth proportional to 2,129.20, 3,196.40 and 1,349.20 is: 2,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.20 : 3,196.40 = 1,349.20 : x
  2. Step 2: Convert to fraction form
    2,129.20/3,196.40 = 1,349.20/x
  3. Step 3: Cross multiply
    2,129.20x = 3,196.40 × 1,349.20
  4. Step 4: Simplify right side
    2,129.20x = 4,312,582.88
  5. Step 5: Solve for x
    x = 4,312,582.88/2,129.20
  6. Step 6: Final answer
    x = 2,025.45

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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.