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Finding the Fourth Proportional to 2,878.77, 4,320.29 and 2,140.09

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Solution

The fourth proportional to 2,878.77, 4,320.29 and 2,140.09 is: 3,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.77 : 4,320.29 = 2,140.09 : x
  2. Step 2: Convert to fraction form
    2,878.77/4,320.29 = 2,140.09/x
  3. Step 3: Cross multiply
    2,878.77x = 4,320.29 × 2,140.09
  4. Step 4: Simplify right side
    2,878.77x = 9,245,809.43
  5. Step 5: Solve for x
    x = 9,245,809.43/2,878.77
  6. Step 6: Final answer
    x = 3,211.72

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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.