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Finding the Fourth Proportional to 2,878.50, 4,317.32 and 930.44

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Solution

The fourth proportional to 2,878.50, 4,317.32 and 930.44 is: 1,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.50 : 4,317.32 = 930.44 : x
  2. Step 2: Convert to fraction form
    2,878.50/4,317.32 = 930.44/x
  3. Step 3: Cross multiply
    2,878.50x = 4,317.32 × 930.44
  4. Step 4: Simplify right side
    2,878.50x = 4,017,007.22
  5. Step 5: Solve for x
    x = 4,017,007.22/2,878.50
  6. Step 6: Final answer
    x = 1,395.52

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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.