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Finding the Fourth Proportional to 2,097.66, 2,898.42 and 1,724.36

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Solution

The fourth proportional to 2,097.66, 2,898.42 and 1,724.36 is: 2,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.66 : 2,898.42 = 1,724.36 : x
  2. Step 2: Convert to fraction form
    2,097.66/2,898.42 = 1,724.36/x
  3. Step 3: Cross multiply
    2,097.66x = 2,898.42 × 1,724.36
  4. Step 4: Simplify right side
    2,097.66x = 4,997,905.02
  5. Step 5: Solve for x
    x = 4,997,905.02/2,097.66
  6. Step 6: Final answer
    x = 2,382.61

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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.