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Finding the Fourth Proportional to 1,650.69, 2,473.92 and 1,607.61

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Solution

The fourth proportional to 1,650.69, 2,473.92 and 1,607.61 is: 2,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.69 : 2,473.92 = 1,607.61 : x
  2. Step 2: Convert to fraction form
    1,650.69/2,473.92 = 1,607.61/x
  3. Step 3: Cross multiply
    1,650.69x = 2,473.92 × 1,607.61
  4. Step 4: Simplify right side
    1,650.69x = 3,977,098.53
  5. Step 5: Solve for x
    x = 3,977,098.53/1,650.69
  6. Step 6: Final answer
    x = 2,409.36

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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.