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Finding the Fourth Proportional to 1,740.74, 2,610.50 and 1,090.71

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Solution

The fourth proportional to 1,740.74, 2,610.50 and 1,090.71 is: 1,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.74 : 2,610.50 = 1,090.71 : x
  2. Step 2: Convert to fraction form
    1,740.74/2,610.50 = 1,090.71/x
  3. Step 3: Cross multiply
    1,740.74x = 2,610.50 × 1,090.71
  4. Step 4: Simplify right side
    1,740.74x = 2,847,293.00
  5. Step 5: Solve for x
    x = 2,847,293.00/1,740.74
  6. Step 6: Final answer
    x = 1,635.68

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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.