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Finding the Fourth Proportional to 1,734.61, 2,393.77 and 1,105.00

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Solution

The fourth proportional to 1,734.61, 2,393.77 and 1,105.00 is: 1,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.61 : 2,393.77 = 1,105.00 : x
  2. Step 2: Convert to fraction form
    1,734.61/2,393.77 = 1,105.00/x
  3. Step 3: Cross multiply
    1,734.61x = 2,393.77 × 1,105.00
  4. Step 4: Simplify right side
    1,734.61x = 2,645,119.07
  5. Step 5: Solve for x
    x = 2,645,119.07/1,734.61
  6. Step 6: Final answer
    x = 1,524.91

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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.