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Finding the Fourth Proportional to 1,815.92, 2,724.34 and 583.46

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Solution

The fourth proportional to 1,815.92, 2,724.34 and 583.46 is: 875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.92 : 2,724.34 = 583.46 : x
  2. Step 2: Convert to fraction form
    1,815.92/2,724.34 = 583.46/x
  3. Step 3: Cross multiply
    1,815.92x = 2,724.34 × 583.46
  4. Step 4: Simplify right side
    1,815.92x = 1,589,543.42
  5. Step 5: Solve for x
    x = 1,589,543.42/1,815.92
  6. Step 6: Final answer
    x = 875.34

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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.