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Finding the Fourth Proportional to 3,111.86, 4,294.21 and 1,785.48

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Solution

The fourth proportional to 3,111.86, 4,294.21 and 1,785.48 is: 2,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.86 : 4,294.21 = 1,785.48 : x
  2. Step 2: Convert to fraction form
    3,111.86/4,294.21 = 1,785.48/x
  3. Step 3: Cross multiply
    3,111.86x = 4,294.21 × 1,785.48
  4. Step 4: Simplify right side
    3,111.86x = 7,667,225.71
  5. Step 5: Solve for x
    x = 7,667,225.71/3,111.86
  6. Step 6: Final answer
    x = 2,463.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.