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Finding the Fourth Proportional to 2,451.87, 3,382.65 and 1,567.53

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Solution

The fourth proportional to 2,451.87, 3,382.65 and 1,567.53 is: 2,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.87 : 3,382.65 = 1,567.53 : x
  2. Step 2: Convert to fraction form
    2,451.87/3,382.65 = 1,567.53/x
  3. Step 3: Cross multiply
    2,451.87x = 3,382.65 × 1,567.53
  4. Step 4: Simplify right side
    2,451.87x = 5,302,405.35
  5. Step 5: Solve for x
    x = 5,302,405.35/2,451.87
  6. Step 6: Final answer
    x = 2,162.60

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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.