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Finding the Fourth Proportional to 2,073.67, 3,110.95 and 612.93

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Solution

The fourth proportional to 2,073.67, 3,110.95 and 612.93 is: 919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.67 : 3,110.95 = 612.93 : x
  2. Step 2: Convert to fraction form
    2,073.67/3,110.95 = 612.93/x
  3. Step 3: Cross multiply
    2,073.67x = 3,110.95 × 612.93
  4. Step 4: Simplify right side
    2,073.67x = 1,906,794.58
  5. Step 5: Solve for x
    x = 1,906,794.58/2,073.67
  6. Step 6: Final answer
    x = 919.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.