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Finding the Fourth Proportional to 1,642.32, 2,459.17 and 1,311.74

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Solution

The fourth proportional to 1,642.32, 2,459.17 and 1,311.74 is: 1,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.32 : 2,459.17 = 1,311.74 : x
  2. Step 2: Convert to fraction form
    1,642.32/2,459.17 = 1,311.74/x
  3. Step 3: Cross multiply
    1,642.32x = 2,459.17 × 1,311.74
  4. Step 4: Simplify right side
    1,642.32x = 3,225,776.08
  5. Step 5: Solve for x
    x = 3,225,776.08/1,642.32
  6. Step 6: Final answer
    x = 1,964.16

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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.