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Finding the Fourth Proportional to 1,721.61, 2,582.46 and 681.39

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Solution

The fourth proportional to 1,721.61, 2,582.46 and 681.39 is: 1,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.61 : 2,582.46 = 681.39 : x
  2. Step 2: Convert to fraction form
    1,721.61/2,582.46 = 681.39/x
  3. Step 3: Cross multiply
    1,721.61x = 2,582.46 × 681.39
  4. Step 4: Simplify right side
    1,721.61x = 1,759,662.42
  5. Step 5: Solve for x
    x = 1,759,662.42/1,721.61
  6. Step 6: Final answer
    x = 1,022.10

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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.