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Finding the Fourth Proportional to 2,032.16, 2,806.34 and 1,404.27

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Solution

The fourth proportional to 2,032.16, 2,806.34 and 1,404.27 is: 1,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.16 : 2,806.34 = 1,404.27 : x
  2. Step 2: Convert to fraction form
    2,032.16/2,806.34 = 1,404.27/x
  3. Step 3: Cross multiply
    2,032.16x = 2,806.34 × 1,404.27
  4. Step 4: Simplify right side
    2,032.16x = 3,940,852.05
  5. Step 5: Solve for x
    x = 3,940,852.05/2,032.16
  6. Step 6: Final answer
    x = 1,939.25

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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.