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Finding the Fourth Proportional to 2,024.82, 2,792.82 and 1,957.08

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Solution

The fourth proportional to 2,024.82, 2,792.82 and 1,957.08 is: 2,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.82 : 2,792.82 = 1,957.08 : x
  2. Step 2: Convert to fraction form
    2,024.82/2,792.82 = 1,957.08/x
  3. Step 3: Cross multiply
    2,024.82x = 2,792.82 × 1,957.08
  4. Step 4: Simplify right side
    2,024.82x = 5,465,772.17
  5. Step 5: Solve for x
    x = 5,465,772.17/2,024.82
  6. Step 6: Final answer
    x = 2,699.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.