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Finding the Fourth Proportional to 2,151.82, 3,228.54 and 853.66

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Solution

The fourth proportional to 2,151.82, 3,228.54 and 853.66 is: 1,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.82 : 3,228.54 = 853.66 : x
  2. Step 2: Convert to fraction form
    2,151.82/3,228.54 = 853.66/x
  3. Step 3: Cross multiply
    2,151.82x = 3,228.54 × 853.66
  4. Step 4: Simplify right side
    2,151.82x = 2,756,075.46
  5. Step 5: Solve for x
    x = 2,756,075.46/2,151.82
  6. Step 6: Final answer
    x = 1,280.81

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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.