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Finding the Fourth Proportional to 6,032.34, 9,049.05 and 1,649.82

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Solution

The fourth proportional to 6,032.34, 9,049.05 and 1,649.82 is: 2,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.34 : 9,049.05 = 1,649.82 : x
  2. Step 2: Convert to fraction form
    6,032.34/9,049.05 = 1,649.82/x
  3. Step 3: Cross multiply
    6,032.34x = 9,049.05 × 1,649.82
  4. Step 4: Simplify right side
    6,032.34x = 14,929,303.67
  5. Step 5: Solve for x
    x = 14,929,303.67/6,032.34
  6. Step 6: Final answer
    x = 2,474.88

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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.