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Finding the Fourth Proportional to 2,073.86, 3,109.27 and 977.61

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Solution

The fourth proportional to 2,073.86, 3,109.27 and 977.61 is: 1,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.86 : 3,109.27 = 977.61 : x
  2. Step 2: Convert to fraction form
    2,073.86/3,109.27 = 977.61/x
  3. Step 3: Cross multiply
    2,073.86x = 3,109.27 × 977.61
  4. Step 4: Simplify right side
    2,073.86x = 3,039,653.44
  5. Step 5: Solve for x
    x = 3,039,653.44/2,073.86
  6. Step 6: Final answer
    x = 1,465.70

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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.