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Finding the Fourth Proportional to 2,028.74, 2,801.13 and 1,332.14

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Solution

The fourth proportional to 2,028.74, 2,801.13 and 1,332.14 is: 1,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.74 : 2,801.13 = 1,332.14 : x
  2. Step 2: Convert to fraction form
    2,028.74/2,801.13 = 1,332.14/x
  3. Step 3: Cross multiply
    2,028.74x = 2,801.13 × 1,332.14
  4. Step 4: Simplify right side
    2,028.74x = 3,731,497.32
  5. Step 5: Solve for x
    x = 3,731,497.32/2,028.74
  6. Step 6: Final answer
    x = 1,839.32

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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.