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Finding the Fourth Proportional to 2,287.58, 3,429.17 and 2,041.53

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Solution

The fourth proportional to 2,287.58, 3,429.17 and 2,041.53 is: 3,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.58 : 3,429.17 = 2,041.53 : x
  2. Step 2: Convert to fraction form
    2,287.58/3,429.17 = 2,041.53/x
  3. Step 3: Cross multiply
    2,287.58x = 3,429.17 × 2,041.53
  4. Step 4: Simplify right side
    2,287.58x = 7,000,743.22
  5. Step 5: Solve for x
    x = 7,000,743.22/2,287.58
  6. Step 6: Final answer
    x = 3,060.33

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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.