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Finding the Fourth Proportional to 2,123.45, 3,182.87 and 1,026.30

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Solution

The fourth proportional to 2,123.45, 3,182.87 and 1,026.30 is: 1,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.45 : 3,182.87 = 1,026.30 : x
  2. Step 2: Convert to fraction form
    2,123.45/3,182.87 = 1,026.30/x
  3. Step 3: Cross multiply
    2,123.45x = 3,182.87 × 1,026.30
  4. Step 4: Simplify right side
    2,123.45x = 3,266,579.48
  5. Step 5: Solve for x
    x = 3,266,579.48/2,123.45
  6. Step 6: Final answer
    x = 1,538.34

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