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Finding the Fourth Proportional to 2,894.27, 4,342.46 and 1,724.93

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Solution

The fourth proportional to 2,894.27, 4,342.46 and 1,724.93 is: 2,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.27 : 4,342.46 = 1,724.93 : x
  2. Step 2: Convert to fraction form
    2,894.27/4,342.46 = 1,724.93/x
  3. Step 3: Cross multiply
    2,894.27x = 4,342.46 × 1,724.93
  4. Step 4: Simplify right side
    2,894.27x = 7,490,435.18
  5. Step 5: Solve for x
    x = 7,490,435.18/2,894.27
  6. Step 6: Final answer
    x = 2,588.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.