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Finding the Fourth Proportional to 2,337.84, 3,506.49 and 949.77

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Solution

The fourth proportional to 2,337.84, 3,506.49 and 949.77 is: 1,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.84 : 3,506.49 = 949.77 : x
  2. Step 2: Convert to fraction form
    2,337.84/3,506.49 = 949.77/x
  3. Step 3: Cross multiply
    2,337.84x = 3,506.49 × 949.77
  4. Step 4: Simplify right side
    2,337.84x = 3,330,359.01
  5. Step 5: Solve for x
    x = 3,330,359.01/2,337.84
  6. Step 6: Final answer
    x = 1,424.55

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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.