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Finding the Fourth Proportional to 2,315, 3,194.74 and 1,267.16

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Solution

The fourth proportional to 2,315, 3,194.74 and 1,267.16 is: 1,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315 : 3,194.74 = 1,267.16 : x
  2. Step 2: Convert to fraction form
    2,315/3,194.74 = 1,267.16/x
  3. Step 3: Cross multiply
    2,315x = 3,194.74 × 1,267.16
  4. Step 4: Simplify right side
    2,315x = 4,048,246.74
  5. Step 5: Solve for x
    x = 4,048,246.74/2,315
  6. Step 6: Final answer
    x = 1,748.70

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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.