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Finding the Fourth Proportional to 1,454.92, 2,181.98 and 589.03

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Solution

The fourth proportional to 1,454.92, 2,181.98 and 589.03 is: 883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.92 : 2,181.98 = 589.03 : x
  2. Step 2: Convert to fraction form
    1,454.92/2,181.98 = 589.03/x
  3. Step 3: Cross multiply
    1,454.92x = 2,181.98 × 589.03
  4. Step 4: Simplify right side
    1,454.92x = 1,285,251.46
  5. Step 5: Solve for x
    x = 1,285,251.46/1,454.92
  6. Step 6: Final answer
    x = 883.38

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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.