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Finding the Fourth Proportional to 2,364.82, 3,547.17 and 633.44

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Solution

The fourth proportional to 2,364.82, 3,547.17 and 633.44 is: 950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.82 : 3,547.17 = 633.44 : x
  2. Step 2: Convert to fraction form
    2,364.82/3,547.17 = 633.44/x
  3. Step 3: Cross multiply
    2,364.82x = 3,547.17 × 633.44
  4. Step 4: Simplify right side
    2,364.82x = 2,246,919.36
  5. Step 5: Solve for x
    x = 2,246,919.36/2,364.82
  6. Step 6: Final answer
    x = 950.14

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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.