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Finding the Fourth Proportional to 2,878.40, 4,318.68 and 1,029.44

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Solution

The fourth proportional to 2,878.40, 4,318.68 and 1,029.44 is: 1,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.40 : 4,318.68 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    2,878.40/4,318.68 = 1,029.44/x
  3. Step 3: Cross multiply
    2,878.40x = 4,318.68 × 1,029.44
  4. Step 4: Simplify right side
    2,878.40x = 4,445,821.94
  5. Step 5: Solve for x
    x = 4,445,821.94/2,878.40
  6. Step 6: Final answer
    x = 1,544.55

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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.