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Finding the Fourth Proportional to 2,347.54, 3,521.77 and 1,049.01

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Solution

The fourth proportional to 2,347.54, 3,521.77 and 1,049.01 is: 1,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.54 : 3,521.77 = 1,049.01 : x
  2. Step 2: Convert to fraction form
    2,347.54/3,521.77 = 1,049.01/x
  3. Step 3: Cross multiply
    2,347.54x = 3,521.77 × 1,049.01
  4. Step 4: Simplify right side
    2,347.54x = 3,694,371.95
  5. Step 5: Solve for x
    x = 3,694,371.95/2,347.54
  6. Step 6: Final answer
    x = 1,573.72

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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.