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Finding the Fourth Proportional to 2,878.50, 4,318.24 and 1,417.80

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Solution

The fourth proportional to 2,878.50, 4,318.24 and 1,417.80 is: 2,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.50 : 4,318.24 = 1,417.80 : x
  2. Step 2: Convert to fraction form
    2,878.50/4,318.24 = 1,417.80/x
  3. Step 3: Cross multiply
    2,878.50x = 4,318.24 × 1,417.80
  4. Step 4: Simplify right side
    2,878.50x = 6,122,400.67
  5. Step 5: Solve for x
    x = 6,122,400.67/2,878.50
  6. Step 6: Final answer
    x = 2,126.94

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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.