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Finding the Fourth Proportional to 2,878, 4,317.60 and 930.40

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Solution

The fourth proportional to 2,878, 4,317.60 and 930.40 is: 1,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878 : 4,317.60 = 930.40 : x
  2. Step 2: Convert to fraction form
    2,878/4,317.60 = 930.40/x
  3. Step 3: Cross multiply
    2,878x = 4,317.60 × 930.40
  4. Step 4: Simplify right side
    2,878x = 4,017,095.04
  5. Step 5: Solve for x
    x = 4,017,095.04/2,878
  6. Step 6: Final answer
    x = 1,395.79

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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.