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Finding the Fourth Proportional to 2,364.75, 3,547.17 and 633.42

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Solution

The fourth proportional to 2,364.75, 3,547.17 and 633.42 is: 950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.75 : 3,547.17 = 633.42 : x
  2. Step 2: Convert to fraction form
    2,364.75/3,547.17 = 633.42/x
  3. Step 3: Cross multiply
    2,364.75x = 3,547.17 × 633.42
  4. Step 4: Simplify right side
    2,364.75x = 2,246,848.42
  5. Step 5: Solve for x
    x = 2,246,848.42/2,364.75
  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.