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Finding the Fourth Proportional to 1,354.55, 1,868.13 and 882.21

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Solution

The fourth proportional to 1,354.55, 1,868.13 and 882.21 is: 1,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.55 : 1,868.13 = 882.21 : x
  2. Step 2: Convert to fraction form
    1,354.55/1,868.13 = 882.21/x
  3. Step 3: Cross multiply
    1,354.55x = 1,868.13 × 882.21
  4. Step 4: Simplify right side
    1,354.55x = 1,648,082.97
  5. Step 5: Solve for x
    x = 1,648,082.97/1,354.55
  6. Step 6: Final answer
    x = 1,216.71

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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.