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Finding the Fourth Proportional to 1,581.66, 2,181.74 and 1,021.24

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Solution

The fourth proportional to 1,581.66, 2,181.74 and 1,021.24 is: 1,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.66 : 2,181.74 = 1,021.24 : x
  2. Step 2: Convert to fraction form
    1,581.66/2,181.74 = 1,021.24/x
  3. Step 3: Cross multiply
    1,581.66x = 2,181.74 × 1,021.24
  4. Step 4: Simplify right side
    1,581.66x = 2,228,080.16
  5. Step 5: Solve for x
    x = 2,228,080.16/1,581.66
  6. Step 6: Final answer
    x = 1,408.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.