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Finding the Fourth Proportional to 2,842.48, 4,258.25 and 2,109.84

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Solution

The fourth proportional to 2,842.48, 4,258.25 and 2,109.84 is: 3,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.48 : 4,258.25 = 2,109.84 : x
  2. Step 2: Convert to fraction form
    2,842.48/4,258.25 = 2,109.84/x
  3. Step 3: Cross multiply
    2,842.48x = 4,258.25 × 2,109.84
  4. Step 4: Simplify right side
    2,842.48x = 8,984,226.18
  5. Step 5: Solve for x
    x = 8,984,226.18/2,842.48
  6. Step 6: Final answer
    x = 3,160.70

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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.