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Finding the Fourth Proportional to 2,073.66, 3,110.15 and 612.47

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Solution

The fourth proportional to 2,073.66, 3,110.15 and 612.47 is: 918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.66 : 3,110.15 = 612.47 : x
  2. Step 2: Convert to fraction form
    2,073.66/3,110.15 = 612.47/x
  3. Step 3: Cross multiply
    2,073.66x = 3,110.15 × 612.47
  4. Step 4: Simplify right side
    2,073.66x = 1,904,873.57
  5. Step 5: Solve for x
    x = 1,904,873.57/2,073.66
  6. Step 6: Final answer
    x = 918.60

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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.