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Finding the Fourth Proportional to 2,341.81, 3,512.72 and 698.52

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Solution

The fourth proportional to 2,341.81, 3,512.72 and 698.52 is: 1,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.81 : 3,512.72 = 698.52 : x
  2. Step 2: Convert to fraction form
    2,341.81/3,512.72 = 698.52/x
  3. Step 3: Cross multiply
    2,341.81x = 3,512.72 × 698.52
  4. Step 4: Simplify right side
    2,341.81x = 2,453,705.17
  5. Step 5: Solve for x
    x = 2,453,705.17/2,341.81
  6. Step 6: Final answer
    x = 1,047.78

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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.