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Finding the Fourth Proportional to 2,031.81, 3,048.21 and 697.59

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Solution

The fourth proportional to 2,031.81, 3,048.21 and 697.59 is: 1,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.81 : 3,048.21 = 697.59 : x
  2. Step 2: Convert to fraction form
    2,031.81/3,048.21 = 697.59/x
  3. Step 3: Cross multiply
    2,031.81x = 3,048.21 × 697.59
  4. Step 4: Simplify right side
    2,031.81x = 2,126,388.25
  5. Step 5: Solve for x
    x = 2,126,388.25/2,031.81
  6. Step 6: Final answer
    x = 1,046.55

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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.