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Finding the Fourth Proportional to 2,341.35, 3,512.03 and 698.48

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Solution

The fourth proportional to 2,341.35, 3,512.03 and 698.48 is: 1,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.35 : 3,512.03 = 698.48 : x
  2. Step 2: Convert to fraction form
    2,341.35/3,512.03 = 698.48/x
  3. Step 3: Cross multiply
    2,341.35x = 3,512.03 × 698.48
  4. Step 4: Simplify right side
    2,341.35x = 2,453,061.66
  5. Step 5: Solve for x
    x = 2,453,061.66/2,341.35
  6. Step 6: Final answer
    x = 1,047.71

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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.