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Finding the Fourth Proportional to 2,347.68, 3,520.46 and 1,116.59

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Solution

The fourth proportional to 2,347.68, 3,520.46 and 1,116.59 is: 1,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.68 : 3,520.46 = 1,116.59 : x
  2. Step 2: Convert to fraction form
    2,347.68/3,520.46 = 1,116.59/x
  3. Step 3: Cross multiply
    2,347.68x = 3,520.46 × 1,116.59
  4. Step 4: Simplify right side
    2,347.68x = 3,930,895.62
  5. Step 5: Solve for x
    x = 3,930,895.62/2,347.68
  6. Step 6: Final answer
    x = 1,674.37

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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.