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Finding the Fourth Proportional to 2,070.86, 3,104.78 and 974.61

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Solution

The fourth proportional to 2,070.86, 3,104.78 and 974.61 is: 1,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.86 : 3,104.78 = 974.61 : x
  2. Step 2: Convert to fraction form
    2,070.86/3,104.78 = 974.61/x
  3. Step 3: Cross multiply
    2,070.86x = 3,104.78 × 974.61
  4. Step 4: Simplify right side
    2,070.86x = 3,025,944.76
  5. Step 5: Solve for x
    x = 3,025,944.76/2,070.86
  6. Step 6: Final answer
    x = 1,461.21

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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.