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Finding the Fourth Proportional to 2,151.76, 3,230.07 and 854.14

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Solution

The fourth proportional to 2,151.76, 3,230.07 and 854.14 is: 1,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.76 : 3,230.07 = 854.14 : x
  2. Step 2: Convert to fraction form
    2,151.76/3,230.07 = 854.14/x
  3. Step 3: Cross multiply
    2,151.76x = 3,230.07 × 854.14
  4. Step 4: Simplify right side
    2,151.76x = 2,758,931.99
  5. Step 5: Solve for x
    x = 2,758,931.99/2,151.76
  6. Step 6: Final answer
    x = 1,282.17

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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.