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Finding the Fourth Proportional to 2,410, 3,613.34 and 949.32

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Solution

The fourth proportional to 2,410, 3,613.34 and 949.32 is: 1,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410 : 3,613.34 = 949.32 : x
  2. Step 2: Convert to fraction form
    2,410/3,613.34 = 949.32/x
  3. Step 3: Cross multiply
    2,410x = 3,613.34 × 949.32
  4. Step 4: Simplify right side
    2,410x = 3,430,215.93
  5. Step 5: Solve for x
    x = 3,430,215.93/2,410
  6. Step 6: Final answer
    x = 1,423.33

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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.