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Finding the Fourth Proportional to 3,350.52, 4,624.68 and 2,024

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Solution

The fourth proportional to 3,350.52, 4,624.68 and 2,024 is: 2,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350.52 : 4,624.68 = 2,024 : x
  2. Step 2: Convert to fraction form
    3,350.52/4,624.68 = 2,024/x
  3. Step 3: Cross multiply
    3,350.52x = 4,624.68 × 2,024
  4. Step 4: Simplify right side
    3,350.52x = 9,360,352.32
  5. Step 5: Solve for x
    x = 9,360,352.32/3,350.52
  6. Step 6: Final answer
    x = 2,793.70

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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.