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Finding the Fourth Proportional to 2,009.52, 3,032.82 and 1,957.68

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Solution

The fourth proportional to 2,009.52, 3,032.82 and 1,957.68 is: 2,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.52 : 3,032.82 = 1,957.68 : x
  2. Step 2: Convert to fraction form
    2,009.52/3,032.82 = 1,957.68/x
  3. Step 3: Cross multiply
    2,009.52x = 3,032.82 × 1,957.68
  4. Step 4: Simplify right side
    2,009.52x = 5,937,291.06
  5. Step 5: Solve for x
    x = 5,937,291.06/2,009.52
  6. Step 6: Final answer
    x = 2,954.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.