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Finding the Fourth Proportional to 2,820.72, 3,892.14 and 1,772.04

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Solution

The fourth proportional to 2,820.72, 3,892.14 and 1,772.04 is: 2,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.72 : 3,892.14 = 1,772.04 : x
  2. Step 2: Convert to fraction form
    2,820.72/3,892.14 = 1,772.04/x
  3. Step 3: Cross multiply
    2,820.72x = 3,892.14 × 1,772.04
  4. Step 4: Simplify right side
    2,820.72x = 6,897,027.77
  5. Step 5: Solve for x
    x = 6,897,027.77/2,820.72
  6. Step 6: Final answer
    x = 2,445.13

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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.