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Finding the Fourth Proportional to 2,989.80, 4,485.42 and 909.76

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Solution

The fourth proportional to 2,989.80, 4,485.42 and 909.76 is: 1,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.80 : 4,485.42 = 909.76 : x
  2. Step 2: Convert to fraction form
    2,989.80/4,485.42 = 909.76/x
  3. Step 3: Cross multiply
    2,989.80x = 4,485.42 × 909.76
  4. Step 4: Simplify right side
    2,989.80x = 4,080,655.70
  5. Step 5: Solve for x
    x = 4,080,655.70/2,989.80
  6. Step 6: Final answer
    x = 1,364.86

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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.