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Finding the Fourth Proportional to 3,154.98, 4,349.21 and 2,020.53

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Solution

The fourth proportional to 3,154.98, 4,349.21 and 2,020.53 is: 2,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.98 : 4,349.21 = 2,020.53 : x
  2. Step 2: Convert to fraction form
    3,154.98/4,349.21 = 2,020.53/x
  3. Step 3: Cross multiply
    3,154.98x = 4,349.21 × 2,020.53
  4. Step 4: Simplify right side
    3,154.98x = 8,787,699.18
  5. Step 5: Solve for x
    x = 8,787,699.18/3,154.98
  6. Step 6: Final answer
    x = 2,785.34

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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.