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Finding the Fourth Proportional to 2,465.33, 3,698 and 925.25

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Solution

The fourth proportional to 2,465.33, 3,698 and 925.25 is: 1,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.33 : 3,698 = 925.25 : x
  2. Step 2: Convert to fraction form
    2,465.33/3,698 = 925.25/x
  3. Step 3: Cross multiply
    2,465.33x = 3,698 × 925.25
  4. Step 4: Simplify right side
    2,465.33x = 3,421,574.50
  5. Step 5: Solve for x
    x = 3,421,574.50/2,465.33
  6. Step 6: Final answer
    x = 1,387.88

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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.