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Finding the Fourth Proportional to 2,820.79, 3,892.23 and 1,772.11

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Solution

The fourth proportional to 2,820.79, 3,892.23 and 1,772.11 is: 2,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.79 : 3,892.23 = 1,772.11 : x
  2. Step 2: Convert to fraction form
    2,820.79/3,892.23 = 1,772.11/x
  3. Step 3: Cross multiply
    2,820.79x = 3,892.23 × 1,772.11
  4. Step 4: Simplify right side
    2,820.79x = 6,897,459.71
  5. Step 5: Solve for x
    x = 6,897,459.71/2,820.79
  6. Step 6: Final answer
    x = 2,445.22

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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.