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Finding the Fourth Proportional to 3,155.84, 4,734.78 and 1,512.50

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Solution

The fourth proportional to 3,155.84, 4,734.78 and 1,512.50 is: 2,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.84 : 4,734.78 = 1,512.50 : x
  2. Step 2: Convert to fraction form
    3,155.84/4,734.78 = 1,512.50/x
  3. Step 3: Cross multiply
    3,155.84x = 4,734.78 × 1,512.50
  4. Step 4: Simplify right side
    3,155.84x = 7,161,366.59
  5. Step 5: Solve for x
    x = 7,161,366.59/3,155.84
  6. Step 6: Final answer
    x = 2,269.24

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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.