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Finding the Fourth Proportional to 2,317, 3,197.50 and 1,269.16

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Solution

The fourth proportional to 2,317, 3,197.50 and 1,269.16 is: 1,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317 : 3,197.50 = 1,269.16 : x
  2. Step 2: Convert to fraction form
    2,317/3,197.50 = 1,269.16/x
  3. Step 3: Cross multiply
    2,317x = 3,197.50 × 1,269.16
  4. Step 4: Simplify right side
    2,317x = 4,058,139.10
  5. Step 5: Solve for x
    x = 4,058,139.10/2,317
  6. Step 6: Final answer
    x = 1,751.46

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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.