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Finding the Fourth Proportional to 1,528.18, 2,108.88 and 829.55

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Solution

The fourth proportional to 1,528.18, 2,108.88 and 829.55 is: 1,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.18 : 2,108.88 = 829.55 : x
  2. Step 2: Convert to fraction form
    1,528.18/2,108.88 = 829.55/x
  3. Step 3: Cross multiply
    1,528.18x = 2,108.88 × 829.55
  4. Step 4: Simplify right side
    1,528.18x = 1,749,426.68
  5. Step 5: Solve for x
    x = 1,749,426.68/1,528.18
  6. Step 6: Final answer
    x = 1,144.78

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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.