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Finding the Fourth Proportional to 2,297.25, 3,443.49 and 909.99

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Solution

The fourth proportional to 2,297.25, 3,443.49 and 909.99 is: 1,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.25 : 3,443.49 = 909.99 : x
  2. Step 2: Convert to fraction form
    2,297.25/3,443.49 = 909.99/x
  3. Step 3: Cross multiply
    2,297.25x = 3,443.49 × 909.99
  4. Step 4: Simplify right side
    2,297.25x = 3,133,541.47
  5. Step 5: Solve for x
    x = 3,133,541.47/2,297.25
  6. Step 6: Final answer
    x = 1,364.04

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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.