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Finding the Fourth Proportional to 1,793.01, 2,471.54 and 1,642.35

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Solution

The fourth proportional to 1,793.01, 2,471.54 and 1,642.35 is: 2,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.01 : 2,471.54 = 1,642.35 : x
  2. Step 2: Convert to fraction form
    1,793.01/2,471.54 = 1,642.35/x
  3. Step 3: Cross multiply
    1,793.01x = 2,471.54 × 1,642.35
  4. Step 4: Simplify right side
    1,793.01x = 4,059,125.51
  5. Step 5: Solve for x
    x = 4,059,125.51/1,793.01
  6. Step 6: Final answer
    x = 2,263.86

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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.