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Finding the Fourth Proportional to 1,462.15, 2,194.35 and 538.59

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Solution

The fourth proportional to 1,462.15, 2,194.35 and 538.59 is: 808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.15 : 2,194.35 = 538.59 : x
  2. Step 2: Convert to fraction form
    1,462.15/2,194.35 = 538.59/x
  3. Step 3: Cross multiply
    1,462.15x = 2,194.35 × 538.59
  4. Step 4: Simplify right side
    1,462.15x = 1,181,854.97
  5. Step 5: Solve for x
    x = 1,181,854.97/1,462.15
  6. Step 6: Final answer
    x = 808.30

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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.