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Finding the Fourth Proportional to 2,348.23, 3,521.80 and 704.56

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Solution

The fourth proportional to 2,348.23, 3,521.80 and 704.56 is: 1,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.23 : 3,521.80 = 704.56 : x
  2. Step 2: Convert to fraction form
    2,348.23/3,521.80 = 704.56/x
  3. Step 3: Cross multiply
    2,348.23x = 3,521.80 × 704.56
  4. Step 4: Simplify right side
    2,348.23x = 2,481,319.41
  5. Step 5: Solve for x
    x = 2,481,319.41/2,348.23
  6. Step 6: Final answer
    x = 1,056.68

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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.