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Finding the Fourth Proportional to 2,242.59, 3,364.97 and 943.89

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Solution

The fourth proportional to 2,242.59, 3,364.97 and 943.89 is: 1,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.59 : 3,364.97 = 943.89 : x
  2. Step 2: Convert to fraction form
    2,242.59/3,364.97 = 943.89/x
  3. Step 3: Cross multiply
    2,242.59x = 3,364.97 × 943.89
  4. Step 4: Simplify right side
    2,242.59x = 3,176,156.81
  5. Step 5: Solve for x
    x = 3,176,156.81/2,242.59
  6. Step 6: Final answer
    x = 1,416.29

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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.