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Finding the Fourth Proportional to 2,749.09, 4,124.37 and 899.95

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Solution

The fourth proportional to 2,749.09, 4,124.37 and 899.95 is: 1,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.09 : 4,124.37 = 899.95 : x
  2. Step 2: Convert to fraction form
    2,749.09/4,124.37 = 899.95/x
  3. Step 3: Cross multiply
    2,749.09x = 4,124.37 × 899.95
  4. Step 4: Simplify right side
    2,749.09x = 3,711,726.78
  5. Step 5: Solve for x
    x = 3,711,726.78/2,749.09
  6. Step 6: Final answer
    x = 1,350.17

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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.