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Finding the Fourth Proportional to 1,734.42, 2,600.88 and 501.54

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Solution

The fourth proportional to 1,734.42, 2,600.88 and 501.54 is: 752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.42 : 2,600.88 = 501.54 : x
  2. Step 2: Convert to fraction form
    1,734.42/2,600.88 = 501.54/x
  3. Step 3: Cross multiply
    1,734.42x = 2,600.88 × 501.54
  4. Step 4: Simplify right side
    1,734.42x = 1,304,445.36
  5. Step 5: Solve for x
    x = 1,304,445.36/1,734.42
  6. Step 6: Final answer
    x = 752.09

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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.