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Finding the Fourth Proportional to 1,918.78, 2,878.16 and 823.91

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Solution

The fourth proportional to 1,918.78, 2,878.16 and 823.91 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.78 : 2,878.16 = 823.91 : x
  2. Step 2: Convert to fraction form
    1,918.78/2,878.16 = 823.91/x
  3. Step 3: Cross multiply
    1,918.78x = 2,878.16 × 823.91
  4. Step 4: Simplify right side
    1,918.78x = 2,371,340.75
  5. Step 5: Solve for x
    x = 2,371,340.75/1,918.78
  6. Step 6: Final answer
    x = 1,235.86

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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.