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Finding the Fourth Proportional to 1,454.94, 2,181.96 and 577.10

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Solution

The fourth proportional to 1,454.94, 2,181.96 and 577.10 is: 865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.94 : 2,181.96 = 577.10 : x
  2. Step 2: Convert to fraction form
    1,454.94/2,181.96 = 577.10/x
  3. Step 3: Cross multiply
    1,454.94x = 2,181.96 × 577.10
  4. Step 4: Simplify right side
    1,454.94x = 1,259,209.12
  5. Step 5: Solve for x
    x = 1,259,209.12/1,454.94
  6. Step 6: Final answer
    x = 865.47

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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.