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Finding the Fourth Proportional to 2,071.78, 2,858.88 and 1,220.90

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Solution

The fourth proportional to 2,071.78, 2,858.88 and 1,220.90 is: 1,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 2,858.88 = 1,220.90 : x
  2. Step 2: Convert to fraction form
    2,071.78/2,858.88 = 1,220.90/x
  3. Step 3: Cross multiply
    2,071.78x = 2,858.88 × 1,220.90
  4. Step 4: Simplify right side
    2,071.78x = 3,490,392.30
  5. Step 5: Solve for x
    x = 3,490,392.30/2,071.78
  6. Step 6: Final answer
    x = 1,684.73

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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.