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Finding the Fourth Proportional to 2,247.86, 3,102.05 and 1,303.83

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Solution

The fourth proportional to 2,247.86, 3,102.05 and 1,303.83 is: 1,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.86 : 3,102.05 = 1,303.83 : x
  2. Step 2: Convert to fraction form
    2,247.86/3,102.05 = 1,303.83/x
  3. Step 3: Cross multiply
    2,247.86x = 3,102.05 × 1,303.83
  4. Step 4: Simplify right side
    2,247.86x = 4,044,545.85
  5. Step 5: Solve for x
    x = 4,044,545.85/2,247.86
  6. Step 6: Final answer
    x = 1,799.29

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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.