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Finding the Fourth Proportional to 1,454.90, 2,182.50 and 839.30

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Solution

The fourth proportional to 1,454.90, 2,182.50 and 839.30 is: 1,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.90 : 2,182.50 = 839.30 : x
  2. Step 2: Convert to fraction form
    1,454.90/2,182.50 = 839.30/x
  3. Step 3: Cross multiply
    1,454.90x = 2,182.50 × 839.30
  4. Step 4: Simplify right side
    1,454.90x = 1,831,757.14
  5. Step 5: Solve for x
    x = 1,831,757.14/1,454.90
  6. Step 6: Final answer
    x = 1,259.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.