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Finding the Fourth Proportional to 2,756.75, 4,132.39 and 1,524.74

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Solution

The fourth proportional to 2,756.75, 4,132.39 and 1,524.74 is: 2,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.75 : 4,132.39 = 1,524.74 : x
  2. Step 2: Convert to fraction form
    2,756.75/4,132.39 = 1,524.74/x
  3. Step 3: Cross multiply
    2,756.75x = 4,132.39 × 1,524.74
  4. Step 4: Simplify right side
    2,756.75x = 6,300,820.33
  5. Step 5: Solve for x
    x = 6,300,820.33/2,756.75
  6. Step 6: Final answer
    x = 2,285.60

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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.