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Finding the Fourth Proportional to 1,454.57, 2,181.90 and 577.23

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Solution

The fourth proportional to 1,454.57, 2,181.90 and 577.23 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.57 : 2,181.90 = 577.23 : x
  2. Step 2: Convert to fraction form
    1,454.57/2,181.90 = 577.23/x
  3. Step 3: Cross multiply
    1,454.57x = 2,181.90 × 577.23
  4. Step 4: Simplify right side
    1,454.57x = 1,259,455.25
  5. Step 5: Solve for x
    x = 1,259,455.25/1,454.57
  6. Step 6: Final answer
    x = 865.86

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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.