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Finding the Fourth Proportional to 2,364.17, 3,546.26 and 632.75

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Solution

The fourth proportional to 2,364.17, 3,546.26 and 632.75 is: 949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.17 : 3,546.26 = 632.75 : x
  2. Step 2: Convert to fraction form
    2,364.17/3,546.26 = 632.75/x
  3. Step 3: Cross multiply
    2,364.17x = 3,546.26 × 632.75
  4. Step 4: Simplify right side
    2,364.17x = 2,243,896.02
  5. Step 5: Solve for x
    x = 2,243,896.02/2,364.17
  6. Step 6: Final answer
    x = 949.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.