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Finding the Fourth Proportional to 2,445.92, 3,666.02 and 1,214.11

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Solution

The fourth proportional to 2,445.92, 3,666.02 and 1,214.11 is: 1,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.92 : 3,666.02 = 1,214.11 : x
  2. Step 2: Convert to fraction form
    2,445.92/3,666.02 = 1,214.11/x
  3. Step 3: Cross multiply
    2,445.92x = 3,666.02 × 1,214.11
  4. Step 4: Simplify right side
    2,445.92x = 4,450,933.21
  5. Step 5: Solve for x
    x = 4,450,933.21/2,445.92
  6. Step 6: Final answer
    x = 1,819.74

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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.