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Finding the Fourth Proportional to 2,709.42, 4,060.58 and 1,320.90

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Solution

The fourth proportional to 2,709.42, 4,060.58 and 1,320.90 is: 1,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.42 : 4,060.58 = 1,320.90 : x
  2. Step 2: Convert to fraction form
    2,709.42/4,060.58 = 1,320.90/x
  3. Step 3: Cross multiply
    2,709.42x = 4,060.58 × 1,320.90
  4. Step 4: Simplify right side
    2,709.42x = 5,363,620.12
  5. Step 5: Solve for x
    x = 5,363,620.12/2,709.42
  6. Step 6: Final answer
    x = 1,979.62

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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.