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Finding the Fourth Proportional to 2,343.53, 3,514.88 and 882.69

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Solution

The fourth proportional to 2,343.53, 3,514.88 and 882.69 is: 1,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.53 : 3,514.88 = 882.69 : x
  2. Step 2: Convert to fraction form
    2,343.53/3,514.88 = 882.69/x
  3. Step 3: Cross multiply
    2,343.53x = 3,514.88 × 882.69
  4. Step 4: Simplify right side
    2,343.53x = 3,102,545.01
  5. Step 5: Solve for x
    x = 3,102,545.01/2,343.53
  6. Step 6: Final answer
    x = 1,323.88

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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.