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Finding the Fourth Proportional to 3,122.51, 4,682.57 and 1,042.11

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Solution

The fourth proportional to 3,122.51, 4,682.57 and 1,042.11 is: 1,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.51 : 4,682.57 = 1,042.11 : x
  2. Step 2: Convert to fraction form
    3,122.51/4,682.57 = 1,042.11/x
  3. Step 3: Cross multiply
    3,122.51x = 4,682.57 × 1,042.11
  4. Step 4: Simplify right side
    3,122.51x = 4,879,747.81
  5. Step 5: Solve for x
    x = 4,879,747.81/3,122.51
  6. Step 6: Final answer
    x = 1,562.77

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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.