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Finding the Fourth Proportional to 2,077.86, 3,112.47 and 983.10

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Solution

The fourth proportional to 2,077.86, 3,112.47 and 983.10 is: 1,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.86 : 3,112.47 = 983.10 : x
  2. Step 2: Convert to fraction form
    2,077.86/3,112.47 = 983.10/x
  3. Step 3: Cross multiply
    2,077.86x = 3,112.47 × 983.10
  4. Step 4: Simplify right side
    2,077.86x = 3,059,869.26
  5. Step 5: Solve for x
    x = 3,059,869.26/2,077.86
  6. Step 6: Final answer
    x = 1,472.61

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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.