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Finding the Fourth Proportional to 2,682.65, 4,024.02 and 1,122.89

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Solution

The fourth proportional to 2,682.65, 4,024.02 and 1,122.89 is: 1,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.65 : 4,024.02 = 1,122.89 : x
  2. Step 2: Convert to fraction form
    2,682.65/4,024.02 = 1,122.89/x
  3. Step 3: Cross multiply
    2,682.65x = 4,024.02 × 1,122.89
  4. Step 4: Simplify right side
    2,682.65x = 4,518,531.82
  5. Step 5: Solve for x
    x = 4,518,531.82/2,682.65
  6. Step 6: Final answer
    x = 1,684.35

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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.