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Finding the Fourth Proportional to 2,411.34, 3,616.82 and 1,112.82

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Solution

The fourth proportional to 2,411.34, 3,616.82 and 1,112.82 is: 1,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.34 : 3,616.82 = 1,112.82 : x
  2. Step 2: Convert to fraction form
    2,411.34/3,616.82 = 1,112.82/x
  3. Step 3: Cross multiply
    2,411.34x = 3,616.82 × 1,112.82
  4. Step 4: Simplify right side
    2,411.34x = 4,024,869.63
  5. Step 5: Solve for x
    x = 4,024,869.63/2,411.34
  6. Step 6: Final answer
    x = 1,669.14

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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.