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Finding the Fourth Proportional to 2,454.30, 3,681.57 and 810.99

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Solution

The fourth proportional to 2,454.30, 3,681.57 and 810.99 is: 1,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.30 : 3,681.57 = 810.99 : x
  2. Step 2: Convert to fraction form
    2,454.30/3,681.57 = 810.99/x
  3. Step 3: Cross multiply
    2,454.30x = 3,681.57 × 810.99
  4. Step 4: Simplify right side
    2,454.30x = 2,985,716.45
  5. Step 5: Solve for x
    x = 2,985,716.45/2,454.30
  6. Step 6: Final answer
    x = 1,216.52

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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.