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Finding the Fourth Proportional to 2,047.47, 3,065.98 and 1,352.03

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Solution

The fourth proportional to 2,047.47, 3,065.98 and 1,352.03 is: 2,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.47 : 3,065.98 = 1,352.03 : x
  2. Step 2: Convert to fraction form
    2,047.47/3,065.98 = 1,352.03/x
  3. Step 3: Cross multiply
    2,047.47x = 3,065.98 × 1,352.03
  4. Step 4: Simplify right side
    2,047.47x = 4,145,296.94
  5. Step 5: Solve for x
    x = 4,145,296.94/2,047.47
  6. Step 6: Final answer
    x = 2,024.59

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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.