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Finding the Fourth Proportional to 2,689.75, 4,030.07 and 1,647.57

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Solution

The fourth proportional to 2,689.75, 4,030.07 and 1,647.57 is: 2,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.75 : 4,030.07 = 1,647.57 : x
  2. Step 2: Convert to fraction form
    2,689.75/4,030.07 = 1,647.57/x
  3. Step 3: Cross multiply
    2,689.75x = 4,030.07 × 1,647.57
  4. Step 4: Simplify right side
    2,689.75x = 6,639,814.19
  5. Step 5: Solve for x
    x = 6,639,814.19/2,689.75
  6. Step 6: Final answer
    x = 2,468.56

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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.