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Finding the Fourth Proportional to 2,820.59, 3,888.35 and 1,978.67

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Solution

The fourth proportional to 2,820.59, 3,888.35 and 1,978.67 is: 2,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.59 : 3,888.35 = 1,978.67 : x
  2. Step 2: Convert to fraction form
    2,820.59/3,888.35 = 1,978.67/x
  3. Step 3: Cross multiply
    2,820.59x = 3,888.35 × 1,978.67
  4. Step 4: Simplify right side
    2,820.59x = 7,693,761.32
  5. Step 5: Solve for x
    x = 7,693,761.32/2,820.59
  6. Step 6: Final answer
    x = 2,727.72

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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.