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Finding the Fourth Proportional to 2,842.17, 4,262.78 and 762.40

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Solution

The fourth proportional to 2,842.17, 4,262.78 and 762.40 is: 1,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.17 : 4,262.78 = 762.40 : x
  2. Step 2: Convert to fraction form
    2,842.17/4,262.78 = 762.40/x
  3. Step 3: Cross multiply
    2,842.17x = 4,262.78 × 762.40
  4. Step 4: Simplify right side
    2,842.17x = 3,249,934.72
  5. Step 5: Solve for x
    x = 3,249,934.72/2,842.17
  6. Step 6: Final answer
    x = 1,143.47

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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.