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Finding the Fourth Proportional to 2,854.39, 4,281.60 and 1,553.14

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Solution

The fourth proportional to 2,854.39, 4,281.60 and 1,553.14 is: 2,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.39 : 4,281.60 = 1,553.14 : x
  2. Step 2: Convert to fraction form
    2,854.39/4,281.60 = 1,553.14/x
  3. Step 3: Cross multiply
    2,854.39x = 4,281.60 × 1,553.14
  4. Step 4: Simplify right side
    2,854.39x = 6,649,924.22
  5. Step 5: Solve for x
    x = 6,649,924.22/2,854.39
  6. Step 6: Final answer
    x = 2,329.72

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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.