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Finding the Fourth Proportional to 1,734.49, 2,393.53 and 1,026.46

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Solution

The fourth proportional to 1,734.49, 2,393.53 and 1,026.46 is: 1,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.49 : 2,393.53 = 1,026.46 : x
  2. Step 2: Convert to fraction form
    1,734.49/2,393.53 = 1,026.46/x
  3. Step 3: Cross multiply
    1,734.49x = 2,393.53 × 1,026.46
  4. Step 4: Simplify right side
    1,734.49x = 2,456,862.80
  5. Step 5: Solve for x
    x = 2,456,862.80/1,734.49
  6. Step 6: Final answer
    x = 1,416.48

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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.