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Finding the Fourth Proportional to 2,123.14, 3,182.88 and 1,028.26

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Solution

The fourth proportional to 2,123.14, 3,182.88 and 1,028.26 is: 1,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.14 : 3,182.88 = 1,028.26 : x
  2. Step 2: Convert to fraction form
    2,123.14/3,182.88 = 1,028.26/x
  3. Step 3: Cross multiply
    2,123.14x = 3,182.88 × 1,028.26
  4. Step 4: Simplify right side
    2,123.14x = 3,272,828.19
  5. Step 5: Solve for x
    x = 3,272,828.19/2,123.14
  6. Step 6: Final answer
    x = 1,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.