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Finding the Fourth Proportional to 3,410.31, 4,705.90 and 1,918.20

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Solution

The fourth proportional to 3,410.31, 4,705.90 and 1,918.20 is: 2,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.31 : 4,705.90 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    3,410.31/4,705.90 = 1,918.20/x
  3. Step 3: Cross multiply
    3,410.31x = 4,705.90 × 1,918.20
  4. Step 4: Simplify right side
    3,410.31x = 9,026,824.26
  5. Step 5: Solve for x
    x = 9,026,824.26/3,410.31
  6. Step 6: Final answer
    x = 2,646.92

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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.