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Finding the Fourth Proportional to 1,738.84, 2,399.56 and 952.87

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Solution

The fourth proportional to 1,738.84, 2,399.56 and 952.87 is: 1,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.84 : 2,399.56 = 952.87 : x
  2. Step 2: Convert to fraction form
    1,738.84/2,399.56 = 952.87/x
  3. Step 3: Cross multiply
    1,738.84x = 2,399.56 × 952.87
  4. Step 4: Simplify right side
    1,738.84x = 2,286,468.74
  5. Step 5: Solve for x
    x = 2,286,468.74/1,738.84
  6. Step 6: Final answer
    x = 1,314.94

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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.