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Finding the Fourth Proportional to 1,528.15, 2,108.87 and 829.53

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Solution

The fourth proportional to 1,528.15, 2,108.87 and 829.53 is: 1,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.15 : 2,108.87 = 829.53 : x
  2. Step 2: Convert to fraction form
    1,528.15/2,108.87 = 829.53/x
  3. Step 3: Cross multiply
    1,528.15x = 2,108.87 × 829.53
  4. Step 4: Simplify right side
    1,528.15x = 1,749,370.93
  5. Step 5: Solve for x
    x = 1,749,370.93/1,528.15
  6. Step 6: Final answer
    x = 1,144.76

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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.