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Finding the Fourth Proportional to 2,091.60, 2,886.71 and 1,419.44

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Solution

The fourth proportional to 2,091.60, 2,886.71 and 1,419.44 is: 1,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.60 : 2,886.71 = 1,419.44 : x
  2. Step 2: Convert to fraction form
    2,091.60/2,886.71 = 1,419.44/x
  3. Step 3: Cross multiply
    2,091.60x = 2,886.71 × 1,419.44
  4. Step 4: Simplify right side
    2,091.60x = 4,097,490.11
  5. Step 5: Solve for x
    x = 4,097,490.11/2,091.60
  6. Step 6: Final answer
    x = 1,959.02

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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.