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Finding the Fourth Proportional to 2,661.17, 3,672.38 and 1,482.17

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Solution

The fourth proportional to 2,661.17, 3,672.38 and 1,482.17 is: 2,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.17 : 3,672.38 = 1,482.17 : x
  2. Step 2: Convert to fraction form
    2,661.17/3,672.38 = 1,482.17/x
  3. Step 3: Cross multiply
    2,661.17x = 3,672.38 × 1,482.17
  4. Step 4: Simplify right side
    2,661.17x = 5,443,076.81
  5. Step 5: Solve for x
    x = 5,443,076.81/2,661.17
  6. Step 6: Final answer
    x = 2,045.37

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Why These Related Problems?

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