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Finding the Fourth Proportional to 1,738.13, 2,398.59 and 952.18

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Solution

The fourth proportional to 1,738.13, 2,398.59 and 952.18 is: 1,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.13 : 2,398.59 = 952.18 : x
  2. Step 2: Convert to fraction form
    1,738.13/2,398.59 = 952.18/x
  3. Step 3: Cross multiply
    1,738.13x = 2,398.59 × 952.18
  4. Step 4: Simplify right side
    1,738.13x = 2,283,877.43
  5. Step 5: Solve for x
    x = 2,283,877.43/1,738.13
  6. Step 6: Final answer
    x = 1,313.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.