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Finding the Fourth Proportional to 2,464.34, 3,696.26 and 925.46

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Solution

The fourth proportional to 2,464.34, 3,696.26 and 925.46 is: 1,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.34 : 3,696.26 = 925.46 : x
  2. Step 2: Convert to fraction form
    2,464.34/3,696.26 = 925.46/x
  3. Step 3: Cross multiply
    2,464.34x = 3,696.26 × 925.46
  4. Step 4: Simplify right side
    2,464.34x = 3,420,740.78
  5. Step 5: Solve for x
    x = 3,420,740.78/2,464.34
  6. Step 6: Final answer
    x = 1,388.10

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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.