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Finding the Fourth Proportional to 1,734.27, 2,598.48 and 855.60

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Solution

The fourth proportional to 1,734.27, 2,598.48 and 855.60 is: 1,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.27 : 2,598.48 = 855.60 : x
  2. Step 2: Convert to fraction form
    1,734.27/2,598.48 = 855.60/x
  3. Step 3: Cross multiply
    1,734.27x = 2,598.48 × 855.60
  4. Step 4: Simplify right side
    1,734.27x = 2,223,259.49
  5. Step 5: Solve for x
    x = 2,223,259.49/1,734.27
  6. Step 6: Final answer
    x = 1,281.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.