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Finding the Fourth Proportional to 1,738.14, 2,398.53 and 952.03

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Solution

The fourth proportional to 1,738.14, 2,398.53 and 952.03 is: 1,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.14 : 2,398.53 = 952.03 : x
  2. Step 2: Convert to fraction form
    1,738.14/2,398.53 = 952.03/x
  3. Step 3: Cross multiply
    1,738.14x = 2,398.53 × 952.03
  4. Step 4: Simplify right side
    1,738.14x = 2,283,472.52
  5. Step 5: Solve for x
    x = 2,283,472.52/1,738.14
  6. Step 6: Final answer
    x = 1,313.74

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1.5x scale

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.