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Finding the Fourth Proportional to 2,406.80, 3,319.67 and 1,565.96

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Solution

The fourth proportional to 2,406.80, 3,319.67 and 1,565.96 is: 2,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.80 : 3,319.67 = 1,565.96 : x
  2. Step 2: Convert to fraction form
    2,406.80/3,319.67 = 1,565.96/x
  3. Step 3: Cross multiply
    2,406.80x = 3,319.67 × 1,565.96
  4. Step 4: Simplify right side
    2,406.80x = 5,198,457.75
  5. Step 5: Solve for x
    x = 5,198,457.75/2,406.80
  6. Step 6: Final answer
    x = 2,159.90

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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.