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Finding the Fourth Proportional to 2,756.48, 4,124.82 and 2,024.24

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Solution

The fourth proportional to 2,756.48, 4,124.82 and 2,024.24 is: 3,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.48 : 4,124.82 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    2,756.48/4,124.82 = 2,024.24/x
  3. Step 3: Cross multiply
    2,756.48x = 4,124.82 × 2,024.24
  4. Step 4: Simplify right side
    2,756.48x = 8,349,625.64
  5. Step 5: Solve for x
    x = 8,349,625.64/2,756.48
  6. Step 6: Final answer
    x = 3,029.09

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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.