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Finding the Fourth Proportional to 1,904.13, 2,854.10 and 1,245.73

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Solution

The fourth proportional to 1,904.13, 2,854.10 and 1,245.73 is: 1,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.13 : 2,854.10 = 1,245.73 : x
  2. Step 2: Convert to fraction form
    1,904.13/2,854.10 = 1,245.73/x
  3. Step 3: Cross multiply
    1,904.13x = 2,854.10 × 1,245.73
  4. Step 4: Simplify right side
    1,904.13x = 3,555,437.99
  5. Step 5: Solve for x
    x = 3,555,437.99/1,904.13
  6. Step 6: Final answer
    x = 1,867.22

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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.