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Finding the Fourth Proportional to 2,102.39, 3,128.76 and 2,032.31

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Solution

The fourth proportional to 2,102.39, 3,128.76 and 2,032.31 is: 3,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.39 : 3,128.76 = 2,032.31 : x
  2. Step 2: Convert to fraction form
    2,102.39/3,128.76 = 2,032.31/x
  3. Step 3: Cross multiply
    2,102.39x = 3,128.76 × 2,032.31
  4. Step 4: Simplify right side
    2,102.39x = 6,358,618.06
  5. Step 5: Solve for x
    x = 6,358,618.06/2,102.39
  6. Step 6: Final answer
    x = 3,024.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.