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Finding the Fourth Proportional to 1,452.34, 2,180.72 and 907.95

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Solution

The fourth proportional to 1,452.34, 2,180.72 and 907.95 is: 1,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.34 : 2,180.72 = 907.95 : x
  2. Step 2: Convert to fraction form
    1,452.34/2,180.72 = 907.95/x
  3. Step 3: Cross multiply
    1,452.34x = 2,180.72 × 907.95
  4. Step 4: Simplify right side
    1,452.34x = 1,979,984.72
  5. Step 5: Solve for x
    x = 1,979,984.72/1,452.34
  6. Step 6: Final answer
    x = 1,363.31

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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.