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Finding the Fourth Proportional to 2,454.32, 3,681.72 and 810.86

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Solution

The fourth proportional to 2,454.32, 3,681.72 and 810.86 is: 1,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.32 : 3,681.72 = 810.86 : x
  2. Step 2: Convert to fraction form
    2,454.32/3,681.72 = 810.86/x
  3. Step 3: Cross multiply
    2,454.32x = 3,681.72 × 810.86
  4. Step 4: Simplify right side
    2,454.32x = 2,985,359.48
  5. Step 5: Solve for x
    x = 2,985,359.48/2,454.32
  6. Step 6: Final answer
    x = 1,216.37

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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.