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Finding the Fourth Proportional to 1,348.62, 1,860.03 and 882.78

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Solution

The fourth proportional to 1,348.62, 1,860.03 and 882.78 is: 1,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.62 : 1,860.03 = 882.78 : x
  2. Step 2: Convert to fraction form
    1,348.62/1,860.03 = 882.78/x
  3. Step 3: Cross multiply
    1,348.62x = 1,860.03 × 882.78
  4. Step 4: Simplify right side
    1,348.62x = 1,641,997.28
  5. Step 5: Solve for x
    x = 1,641,997.28/1,348.62
  6. Step 6: Final answer
    x = 1,217.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.