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Finding the Fourth Proportional to 1,738.66, 2,399.38 and 952.74

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Solution

The fourth proportional to 1,738.66, 2,399.38 and 952.74 is: 1,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.66 : 2,399.38 = 952.74 : x
  2. Step 2: Convert to fraction form
    1,738.66/2,399.38 = 952.74/x
  3. Step 3: Cross multiply
    1,738.66x = 2,399.38 × 952.74
  4. Step 4: Simplify right side
    1,738.66x = 2,285,985.30
  5. Step 5: Solve for x
    x = 2,285,985.30/1,738.66
  6. Step 6: Final answer
    x = 1,314.80

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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.