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Finding the Fourth Proportional to 3,115.94, 4,671.02 and 1,062.50

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Solution

The fourth proportional to 3,115.94, 4,671.02 and 1,062.50 is: 1,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.94 : 4,671.02 = 1,062.50 : x
  2. Step 2: Convert to fraction form
    3,115.94/4,671.02 = 1,062.50/x
  3. Step 3: Cross multiply
    3,115.94x = 4,671.02 × 1,062.50
  4. Step 4: Simplify right side
    3,115.94x = 4,962,958.75
  5. Step 5: Solve for x
    x = 4,962,958.75/3,115.94
  6. Step 6: Final answer
    x = 1,592.76

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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.