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Finding the Fourth Proportional to 2,878.85, 4,317.17 and 1,029.62

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Solution

The fourth proportional to 2,878.85, 4,317.17 and 1,029.62 is: 1,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.85 : 4,317.17 = 1,029.62 : x
  2. Step 2: Convert to fraction form
    2,878.85/4,317.17 = 1,029.62/x
  3. Step 3: Cross multiply
    2,878.85x = 4,317.17 × 1,029.62
  4. Step 4: Simplify right side
    2,878.85x = 4,445,017.84
  5. Step 5: Solve for x
    x = 4,445,017.84/2,878.85
  6. Step 6: Final answer
    x = 1,544.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.