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Finding the Fourth Proportional to 1,340.20, 2,008.68 and 974.08

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Solution

The fourth proportional to 1,340.20, 2,008.68 and 974.08 is: 1,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.20 : 2,008.68 = 974.08 : x
  2. Step 2: Convert to fraction form
    1,340.20/2,008.68 = 974.08/x
  3. Step 3: Cross multiply
    1,340.20x = 2,008.68 × 974.08
  4. Step 4: Simplify right side
    1,340.20x = 1,956,615.01
  5. Step 5: Solve for x
    x = 1,956,615.01/1,340.20
  6. Step 6: Final answer
    x = 1,459.94

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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.