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Finding the Fourth Proportional to 3,069.34, 4,600.92 and 987.81

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Solution

The fourth proportional to 3,069.34, 4,600.92 and 987.81 is: 1,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.34 : 4,600.92 = 987.81 : x
  2. Step 2: Convert to fraction form
    3,069.34/4,600.92 = 987.81/x
  3. Step 3: Cross multiply
    3,069.34x = 4,600.92 × 987.81
  4. Step 4: Simplify right side
    3,069.34x = 4,544,835.71
  5. Step 5: Solve for x
    x = 4,544,835.71/3,069.34
  6. Step 6: Final answer
    x = 1,480.72

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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.