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Finding the Fourth Proportional to 2,210.33, 3,315.08 and 894.01

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Solution

The fourth proportional to 2,210.33, 3,315.08 and 894.01 is: 1,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.33 : 3,315.08 = 894.01 : x
  2. Step 2: Convert to fraction form
    2,210.33/3,315.08 = 894.01/x
  3. Step 3: Cross multiply
    2,210.33x = 3,315.08 × 894.01
  4. Step 4: Simplify right side
    2,210.33x = 2,963,708.62
  5. Step 5: Solve for x
    x = 2,963,708.62/2,210.33
  6. Step 6: Final answer
    x = 1,340.85

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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.