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Finding the Fourth Proportional to 1,740.52, 2,609.10 and 872.20

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Solution

The fourth proportional to 1,740.52, 2,609.10 and 872.20 is: 1,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.52 : 2,609.10 = 872.20 : x
  2. Step 2: Convert to fraction form
    1,740.52/2,609.10 = 872.20/x
  3. Step 3: Cross multiply
    1,740.52x = 2,609.10 × 872.20
  4. Step 4: Simplify right side
    1,740.52x = 2,275,657.02
  5. Step 5: Solve for x
    x = 2,275,657.02/1,740.52
  6. Step 6: Final answer
    x = 1,307.46

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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.