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Finding the Fourth Proportional to 1,452.78, 2,177.82 and 673.32

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Solution

The fourth proportional to 1,452.78, 2,177.82 and 673.32 is: 1,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.78 : 2,177.82 = 673.32 : x
  2. Step 2: Convert to fraction form
    1,452.78/2,177.82 = 673.32/x
  3. Step 3: Cross multiply
    1,452.78x = 2,177.82 × 673.32
  4. Step 4: Simplify right side
    1,452.78x = 1,466,369.76
  5. Step 5: Solve for x
    x = 1,466,369.76/1,452.78
  6. Step 6: Final answer
    x = 1,009.35

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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.