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Finding the Fourth Proportional to 2,187.90, 3,283.22 and 889.38

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Solution

The fourth proportional to 2,187.90, 3,283.22 and 889.38 is: 1,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.90 : 3,283.22 = 889.38 : x
  2. Step 2: Convert to fraction form
    2,187.90/3,283.22 = 889.38/x
  3. Step 3: Cross multiply
    2,187.90x = 3,283.22 × 889.38
  4. Step 4: Simplify right side
    2,187.90x = 2,920,030.20
  5. Step 5: Solve for x
    x = 2,920,030.20/2,187.90
  6. Step 6: Final answer
    x = 1,334.63

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1.5x scale

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.