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Finding the Fourth Proportional to 2,464, 3,696.62 and 732.63

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Solution

The fourth proportional to 2,464, 3,696.62 and 732.63 is: 1,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464 : 3,696.62 = 732.63 : x
  2. Step 2: Convert to fraction form
    2,464/3,696.62 = 732.63/x
  3. Step 3: Cross multiply
    2,464x = 3,696.62 × 732.63
  4. Step 4: Simplify right side
    2,464x = 2,708,254.71
  5. Step 5: Solve for x
    x = 2,708,254.71/2,464
  6. Step 6: Final answer
    x = 1,099.13

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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.