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Finding the Fourth Proportional to 2,246.50, 3,100.17 and 1,315

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Solution

The fourth proportional to 2,246.50, 3,100.17 and 1,315 is: 1,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.50 : 3,100.17 = 1,315 : x
  2. Step 2: Convert to fraction form
    2,246.50/3,100.17 = 1,315/x
  3. Step 3: Cross multiply
    2,246.50x = 3,100.17 × 1,315
  4. Step 4: Simplify right side
    2,246.50x = 4,076,723.55
  5. Step 5: Solve for x
    x = 4,076,723.55/2,246.50
  6. Step 6: Final answer
    x = 1,814.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.