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Finding the Fourth Proportional to 2,703.94, 3,731.85 and 1,957.63

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Solution

The fourth proportional to 2,703.94, 3,731.85 and 1,957.63 is: 2,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.94 : 3,731.85 = 1,957.63 : x
  2. Step 2: Convert to fraction form
    2,703.94/3,731.85 = 1,957.63/x
  3. Step 3: Cross multiply
    2,703.94x = 3,731.85 × 1,957.63
  4. Step 4: Simplify right side
    2,703.94x = 7,305,581.52
  5. Step 5: Solve for x
    x = 7,305,581.52/2,703.94
  6. Step 6: Final answer
    x = 2,701.83

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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.