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Finding the Fourth Proportional to 2,878.34, 4,284.80 and 2,744.15

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Solution

The fourth proportional to 2,878.34, 4,284.80 and 2,744.15 is: 4,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.34 : 4,284.80 = 2,744.15 : x
  2. Step 2: Convert to fraction form
    2,878.34/4,284.80 = 2,744.15/x
  3. Step 3: Cross multiply
    2,878.34x = 4,284.80 × 2,744.15
  4. Step 4: Simplify right side
    2,878.34x = 11,758,109.07
  5. Step 5: Solve for x
    x = 11,758,109.07/2,878.34
  6. Step 6: Final answer
    x = 4,085.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.