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Finding the Fourth Proportional to 2,412.60, 3,329.01 and 1,364.46

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Solution

The fourth proportional to 2,412.60, 3,329.01 and 1,364.46 is: 1,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.60 : 3,329.01 = 1,364.46 : x
  2. Step 2: Convert to fraction form
    2,412.60/3,329.01 = 1,364.46/x
  3. Step 3: Cross multiply
    2,412.60x = 3,329.01 × 1,364.46
  4. Step 4: Simplify right side
    2,412.60x = 4,542,300.98
  5. Step 5: Solve for x
    x = 4,542,300.98/2,412.60
  6. Step 6: Final answer
    x = 1,882.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.