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Finding the Fourth Proportional to 1,454.36, 2,181 and 529.66

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Solution

The fourth proportional to 1,454.36, 2,181 and 529.66 is: 794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.36 : 2,181 = 529.66 : x
  2. Step 2: Convert to fraction form
    1,454.36/2,181 = 529.66/x
  3. Step 3: Cross multiply
    1,454.36x = 2,181 × 529.66
  4. Step 4: Simplify right side
    1,454.36x = 1,155,188.46
  5. Step 5: Solve for x
    x = 1,155,188.46/1,454.36
  6. Step 6: Final answer
    x = 794.29

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