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Finding the Fourth Proportional to 2,312.43, 3,468.66 and 581.06

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Solution

The fourth proportional to 2,312.43, 3,468.66 and 581.06 is: 871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.43 : 3,468.66 = 581.06 : x
  2. Step 2: Convert to fraction form
    2,312.43/3,468.66 = 581.06/x
  3. Step 3: Cross multiply
    2,312.43x = 3,468.66 × 581.06
  4. Step 4: Simplify right side
    2,312.43x = 2,015,499.58
  5. Step 5: Solve for x
    x = 2,015,499.58/2,312.43
  6. Step 6: Final answer
    x = 871.59

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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.