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Finding the Fourth Proportional to 3,123.60, 4,690.41 and 2,071.02

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Solution

The fourth proportional to 3,123.60, 4,690.41 and 2,071.02 is: 3,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.60 : 4,690.41 = 2,071.02 : x
  2. Step 2: Convert to fraction form
    3,123.60/4,690.41 = 2,071.02/x
  3. Step 3: Cross multiply
    3,123.60x = 4,690.41 × 2,071.02
  4. Step 4: Simplify right side
    3,123.60x = 9,713,932.92
  5. Step 5: Solve for x
    x = 9,713,932.92/3,123.60
  6. Step 6: Final answer
    x = 3,109.85

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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.