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Finding the Fourth Proportional to 2,459.61, 3,689.88 and 794.18

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Solution

The fourth proportional to 2,459.61, 3,689.88 and 794.18 is: 1,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.61 : 3,689.88 = 794.18 : x
  2. Step 2: Convert to fraction form
    2,459.61/3,689.88 = 794.18/x
  3. Step 3: Cross multiply
    2,459.61x = 3,689.88 × 794.18
  4. Step 4: Simplify right side
    2,459.61x = 2,930,412.41
  5. Step 5: Solve for x
    x = 2,930,412.41/2,459.61
  6. Step 6: Final answer
    x = 1,191.42

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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.