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Finding the Fourth Proportional to 2,820.68, 3,892.48 and 1,642.40

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Solution

The fourth proportional to 2,820.68, 3,892.48 and 1,642.40 is: 2,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.68 : 3,892.48 = 1,642.40 : x
  2. Step 2: Convert to fraction form
    2,820.68/3,892.48 = 1,642.40/x
  3. Step 3: Cross multiply
    2,820.68x = 3,892.48 × 1,642.40
  4. Step 4: Simplify right side
    2,820.68x = 6,393,009.15
  5. Step 5: Solve for x
    x = 6,393,009.15/2,820.68
  6. Step 6: Final answer
    x = 2,266.48

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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.