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Finding the Fourth Proportional to 2,352.98, 3,247.90 and 1,566.92

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Solution

The fourth proportional to 2,352.98, 3,247.90 and 1,566.92 is: 2,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.98 : 3,247.90 = 1,566.92 : x
  2. Step 2: Convert to fraction form
    2,352.98/3,247.90 = 1,566.92/x
  3. Step 3: Cross multiply
    2,352.98x = 3,247.90 × 1,566.92
  4. Step 4: Simplify right side
    2,352.98x = 5,089,199.47
  5. Step 5: Solve for x
    x = 5,089,199.47/2,352.98
  6. Step 6: Final answer
    x = 2,162.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.