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Finding the Fourth Proportional to 2,052.27, 2,826.09 and 1,737.99

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Solution

The fourth proportional to 2,052.27, 2,826.09 and 1,737.99 is: 2,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.27 : 2,826.09 = 1,737.99 : x
  2. Step 2: Convert to fraction form
    2,052.27/2,826.09 = 1,737.99/x
  3. Step 3: Cross multiply
    2,052.27x = 2,826.09 × 1,737.99
  4. Step 4: Simplify right side
    2,052.27x = 4,911,716.16
  5. Step 5: Solve for x
    x = 4,911,716.16/2,052.27
  6. Step 6: Final answer
    x = 2,393.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.