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Finding the Fourth Proportional to 2,878.77, 4,317.21 and 930.52

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Solution

The fourth proportional to 2,878.77, 4,317.21 and 930.52 is: 1,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.77 : 4,317.21 = 930.52 : x
  2. Step 2: Convert to fraction form
    2,878.77/4,317.21 = 930.52/x
  3. Step 3: Cross multiply
    2,878.77x = 4,317.21 × 930.52
  4. Step 4: Simplify right side
    2,878.77x = 4,017,250.25
  5. Step 5: Solve for x
    x = 4,017,250.25/2,878.77
  6. Step 6: Final answer
    x = 1,395.47

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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.