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Finding the Fourth Proportional to 2,232.07, 3,348.59 and 671.94

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Solution

The fourth proportional to 2,232.07, 3,348.59 and 671.94 is: 1,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.07 : 3,348.59 = 671.94 : x
  2. Step 2: Convert to fraction form
    2,232.07/3,348.59 = 671.94/x
  3. Step 3: Cross multiply
    2,232.07x = 3,348.59 × 671.94
  4. Step 4: Simplify right side
    2,232.07x = 2,250,048.20
  5. Step 5: Solve for x
    x = 2,250,048.20/2,232.07
  6. Step 6: Final answer
    x = 1,008.06

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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.