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Finding the Fourth Proportional to 2,347.69, 3,521.57 and 704.26

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Solution

The fourth proportional to 2,347.69, 3,521.57 and 704.26 is: 1,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.69 : 3,521.57 = 704.26 : x
  2. Step 2: Convert to fraction form
    2,347.69/3,521.57 = 704.26/x
  3. Step 3: Cross multiply
    2,347.69x = 3,521.57 × 704.26
  4. Step 4: Simplify right side
    2,347.69x = 2,480,100.89
  5. Step 5: Solve for x
    x = 2,480,100.89/2,347.69
  6. Step 6: Final answer
    x = 1,056.40

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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.