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Finding the Fourth Proportional to 2,941.17, 4,411.73 and 749.90

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Solution

The fourth proportional to 2,941.17, 4,411.73 and 749.90 is: 1,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.17 : 4,411.73 = 749.90 : x
  2. Step 2: Convert to fraction form
    2,941.17/4,411.73 = 749.90/x
  3. Step 3: Cross multiply
    2,941.17x = 4,411.73 × 749.90
  4. Step 4: Simplify right side
    2,941.17x = 3,308,330.52
  5. Step 5: Solve for x
    x = 3,308,330.52/2,941.17
  6. Step 6: Final answer
    x = 1,124.83

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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.