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Finding the Fourth Proportional to 2,842.48, 4,260.68 and 1,454.34

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Solution

The fourth proportional to 2,842.48, 4,260.68 and 1,454.34 is: 2,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.48 : 4,260.68 = 1,454.34 : x
  2. Step 2: Convert to fraction form
    2,842.48/4,260.68 = 1,454.34/x
  3. Step 3: Cross multiply
    2,842.48x = 4,260.68 × 1,454.34
  4. Step 4: Simplify right side
    2,842.48x = 6,196,477.35
  5. Step 5: Solve for x
    x = 6,196,477.35/2,842.48
  6. Step 6: Final answer
    x = 2,179.95

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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.