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Finding the Fourth Proportional to 2,854.96, 4,276.82 and 1,464.20

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Solution

The fourth proportional to 2,854.96, 4,276.82 and 1,464.20 is: 2,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.96 : 4,276.82 = 1,464.20 : x
  2. Step 2: Convert to fraction form
    2,854.96/4,276.82 = 1,464.20/x
  3. Step 3: Cross multiply
    2,854.96x = 4,276.82 × 1,464.20
  4. Step 4: Simplify right side
    2,854.96x = 6,262,119.84
  5. Step 5: Solve for x
    x = 6,262,119.84/2,854.96
  6. Step 6: Final answer
    x = 2,193.42

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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.