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Finding the Fourth Proportional to 3,222.61, 4,838.37 and 1,663.90

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Solution

The fourth proportional to 3,222.61, 4,838.37 and 1,663.90 is: 2,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.61 : 4,838.37 = 1,663.90 : x
  2. Step 2: Convert to fraction form
    3,222.61/4,838.37 = 1,663.90/x
  3. Step 3: Cross multiply
    3,222.61x = 4,838.37 × 1,663.90
  4. Step 4: Simplify right side
    3,222.61x = 8,050,545.51
  5. Step 5: Solve for x
    x = 8,050,545.51/3,222.61
  6. Step 6: Final answer
    x = 2,498.15

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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.