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Finding the Fourth Proportional to 4,432.09, 6,649.30 and 1,658.99

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Solution

The fourth proportional to 4,432.09, 6,649.30 and 1,658.99 is: 2,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.09 : 6,649.30 = 1,658.99 : x
  2. Step 2: Convert to fraction form
    4,432.09/6,649.30 = 1,658.99/x
  3. Step 3: Cross multiply
    4,432.09x = 6,649.30 × 1,658.99
  4. Step 4: Simplify right side
    4,432.09x = 11,031,088.96
  5. Step 5: Solve for x
    x = 11,031,088.96/4,432.09
  6. Step 6: Final answer
    x = 2,488.91

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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.