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Finding the Fourth Proportional to 2,144.05, 3,215.75 and 584.15

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Solution

The fourth proportional to 2,144.05, 3,215.75 and 584.15 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.05 : 3,215.75 = 584.15 : x
  2. Step 2: Convert to fraction form
    2,144.05/3,215.75 = 584.15/x
  3. Step 3: Cross multiply
    2,144.05x = 3,215.75 × 584.15
  4. Step 4: Simplify right side
    2,144.05x = 1,878,461.36
  5. Step 5: Solve for x
    x = 1,878,461.36/2,144.05
  6. Step 6: Final answer
    x = 876.13

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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.