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Finding the Fourth Proportional to 2,347.86, 3,520.89 and 704.46

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Solution

The fourth proportional to 2,347.86, 3,520.89 and 704.46 is: 1,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.86 : 3,520.89 = 704.46 : x
  2. Step 2: Convert to fraction form
    2,347.86/3,520.89 = 704.46/x
  3. Step 3: Cross multiply
    2,347.86x = 3,520.89 × 704.46
  4. Step 4: Simplify right side
    2,347.86x = 2,480,326.17
  5. Step 5: Solve for x
    x = 2,480,326.17/2,347.86
  6. Step 6: Final answer
    x = 1,056.42

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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.