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Finding the Fourth Proportional to 1,740.29, 2,610.53 and 766.26

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Solution

The fourth proportional to 1,740.29, 2,610.53 and 766.26 is: 1,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.29 : 2,610.53 = 766.26 : x
  2. Step 2: Convert to fraction form
    1,740.29/2,610.53 = 766.26/x
  3. Step 3: Cross multiply
    1,740.29x = 2,610.53 × 766.26
  4. Step 4: Simplify right side
    1,740.29x = 2,000,343.76
  5. Step 5: Solve for x
    x = 2,000,343.76/1,740.29
  6. Step 6: Final answer
    x = 1,149.43

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Why These Related Problems?

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