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Finding the Fourth Proportional to 2,343.40, 3,514.69 and 882.57

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Solution

The fourth proportional to 2,343.40, 3,514.69 and 882.57 is: 1,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.40 : 3,514.69 = 882.57 : x
  2. Step 2: Convert to fraction form
    2,343.40/3,514.69 = 882.57/x
  3. Step 3: Cross multiply
    2,343.40x = 3,514.69 × 882.57
  4. Step 4: Simplify right side
    2,343.40x = 3,101,959.95
  5. Step 5: Solve for x
    x = 3,101,959.95/2,343.40
  6. Step 6: Final answer
    x = 1,323.70

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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.