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Finding the Fourth Proportional to 1,454.32, 2,181.66 and 529.98

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Solution

The fourth proportional to 1,454.32, 2,181.66 and 529.98 is: 795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.32 : 2,181.66 = 529.98 : x
  2. Step 2: Convert to fraction form
    1,454.32/2,181.66 = 529.98/x
  3. Step 3: Cross multiply
    1,454.32x = 2,181.66 × 529.98
  4. Step 4: Simplify right side
    1,454.32x = 1,156,236.17
  5. Step 5: Solve for x
    x = 1,156,236.17/1,454.32
  6. Step 6: Final answer
    x = 795.04

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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.