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Finding the Fourth Proportional to 1,518.87, 2,277.71 and 902.73

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Solution

The fourth proportional to 1,518.87, 2,277.71 and 902.73 is: 1,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.87 : 2,277.71 = 902.73 : x
  2. Step 2: Convert to fraction form
    1,518.87/2,277.71 = 902.73/x
  3. Step 3: Cross multiply
    1,518.87x = 2,277.71 × 902.73
  4. Step 4: Simplify right side
    1,518.87x = 2,056,152.63
  5. Step 5: Solve for x
    x = 2,056,152.63/1,518.87
  6. Step 6: Final answer
    x = 1,353.74

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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.