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Finding the Fourth Proportional to 2,347.59, 3,521.90 and 704.28

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Solution

The fourth proportional to 2,347.59, 3,521.90 and 704.28 is: 1,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.59 : 3,521.90 = 704.28 : x
  2. Step 2: Convert to fraction form
    2,347.59/3,521.90 = 704.28/x
  3. Step 3: Cross multiply
    2,347.59x = 3,521.90 × 704.28
  4. Step 4: Simplify right side
    2,347.59x = 2,480,403.73
  5. Step 5: Solve for x
    x = 2,480,403.73/2,347.59
  6. Step 6: Final answer
    x = 1,056.57

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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.