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Finding the Fourth Proportional to 2,316.84, 3,197.24 and 1,269

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Solution

The fourth proportional to 2,316.84, 3,197.24 and 1,269 is: 1,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.84 : 3,197.24 = 1,269 : x
  2. Step 2: Convert to fraction form
    2,316.84/3,197.24 = 1,269/x
  3. Step 3: Cross multiply
    2,316.84x = 3,197.24 × 1,269
  4. Step 4: Simplify right side
    2,316.84x = 4,057,297.56
  5. Step 5: Solve for x
    x = 4,057,297.56/2,316.84
  6. Step 6: Final answer
    x = 1,751.22

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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.