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Finding the Fourth Proportional to 4,182.86, 6,269.42 and 1,869.50

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Solution

The fourth proportional to 4,182.86, 6,269.42 and 1,869.50 is: 2,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.86 : 6,269.42 = 1,869.50 : x
  2. Step 2: Convert to fraction form
    4,182.86/6,269.42 = 1,869.50/x
  3. Step 3: Cross multiply
    4,182.86x = 6,269.42 × 1,869.50
  4. Step 4: Simplify right side
    4,182.86x = 11,720,680.69
  5. Step 5: Solve for x
    x = 11,720,680.69/4,182.86
  6. Step 6: Final answer
    x = 2,802.07

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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.