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Finding the Fourth Proportional to 3,300.24, 4,950.02 and 991.74

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Solution

The fourth proportional to 3,300.24, 4,950.02 and 991.74 is: 1,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.24 : 4,950.02 = 991.74 : x
  2. Step 2: Convert to fraction form
    3,300.24/4,950.02 = 991.74/x
  3. Step 3: Cross multiply
    3,300.24x = 4,950.02 × 991.74
  4. Step 4: Simplify right side
    3,300.24x = 4,909,132.83
  5. Step 5: Solve for x
    x = 4,909,132.83/3,300.24
  6. Step 6: Final answer
    x = 1,487.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.