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Finding the Fourth Proportional to 1,740.66, 2,610.85 and 850.91

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Solution

The fourth proportional to 1,740.66, 2,610.85 and 850.91 is: 1,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.66 : 2,610.85 = 850.91 : x
  2. Step 2: Convert to fraction form
    1,740.66/2,610.85 = 850.91/x
  3. Step 3: Cross multiply
    1,740.66x = 2,610.85 × 850.91
  4. Step 4: Simplify right side
    1,740.66x = 2,221,602.77
  5. Step 5: Solve for x
    x = 2,221,602.77/1,740.66
  6. Step 6: Final answer
    x = 1,276.30

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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.