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Finding the Fourth Proportional to 1,911.18, 2,866.66 and 612.55

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Solution

The fourth proportional to 1,911.18, 2,866.66 and 612.55 is: 918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.18 : 2,866.66 = 612.55 : x
  2. Step 2: Convert to fraction form
    1,911.18/2,866.66 = 612.55/x
  3. Step 3: Cross multiply
    1,911.18x = 2,866.66 × 612.55
  4. Step 4: Simplify right side
    1,911.18x = 1,755,972.58
  5. Step 5: Solve for x
    x = 1,755,972.58/1,911.18
  6. Step 6: Final answer
    x = 918.79

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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.