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Finding the Fourth Proportional to 1,824.12, 2,736.79 and 899.10

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Solution

The fourth proportional to 1,824.12, 2,736.79 and 899.10 is: 1,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.12 : 2,736.79 = 899.10 : x
  2. Step 2: Convert to fraction form
    1,824.12/2,736.79 = 899.10/x
  3. Step 3: Cross multiply
    1,824.12x = 2,736.79 × 899.10
  4. Step 4: Simplify right side
    1,824.12x = 2,460,645.64
  5. Step 5: Solve for x
    x = 2,460,645.64/1,824.12
  6. Step 6: Final answer
    x = 1,348.95

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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.