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Finding the Fourth Proportional to 2,411.23, 3,616.85 and 950.34

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Solution

The fourth proportional to 2,411.23, 3,616.85 and 950.34 is: 1,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.23 : 3,616.85 = 950.34 : x
  2. Step 2: Convert to fraction form
    2,411.23/3,616.85 = 950.34/x
  3. Step 3: Cross multiply
    2,411.23x = 3,616.85 × 950.34
  4. Step 4: Simplify right side
    2,411.23x = 3,437,247.82
  5. Step 5: Solve for x
    x = 3,437,247.82/2,411.23
  6. Step 6: Final answer
    x = 1,425.52

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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.