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Finding the Fourth Proportional to 2,032.24, 2,800.02 and 1,434.46

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Solution

The fourth proportional to 2,032.24, 2,800.02 and 1,434.46 is: 1,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.24 : 2,800.02 = 1,434.46 : x
  2. Step 2: Convert to fraction form
    2,032.24/2,800.02 = 1,434.46/x
  3. Step 3: Cross multiply
    2,032.24x = 2,800.02 × 1,434.46
  4. Step 4: Simplify right side
    2,032.24x = 4,016,516.69
  5. Step 5: Solve for x
    x = 4,016,516.69/2,032.24
  6. Step 6: Final answer
    x = 1,976.40

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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.