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Finding the Fourth Proportional to 2,840.65, 4,267.19 and 2,024.17

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Solution

The fourth proportional to 2,840.65, 4,267.19 and 2,024.17 is: 3,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.65 : 4,267.19 = 2,024.17 : x
  2. Step 2: Convert to fraction form
    2,840.65/4,267.19 = 2,024.17/x
  3. Step 3: Cross multiply
    2,840.65x = 4,267.19 × 2,024.17
  4. Step 4: Simplify right side
    2,840.65x = 8,637,517.98
  5. Step 5: Solve for x
    x = 8,637,517.98/2,840.65
  6. Step 6: Final answer
    x = 3,040.68

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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.