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Finding the Fourth Proportional to 2,602.18, 3,900.27 and 1,445.62

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Solution

The fourth proportional to 2,602.18, 3,900.27 and 1,445.62 is: 2,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.18 : 3,900.27 = 1,445.62 : x
  2. Step 2: Convert to fraction form
    2,602.18/3,900.27 = 1,445.62/x
  3. Step 3: Cross multiply
    2,602.18x = 3,900.27 × 1,445.62
  4. Step 4: Simplify right side
    2,602.18x = 5,638,308.32
  5. Step 5: Solve for x
    x = 5,638,308.32/2,602.18
  6. Step 6: Final answer
    x = 2,166.76

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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.