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Finding the Fourth Proportional to 2,709.90, 4,070.31 and 1,616.40

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Solution

The fourth proportional to 2,709.90, 4,070.31 and 1,616.40 is: 2,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.90 : 4,070.31 = 1,616.40 : x
  2. Step 2: Convert to fraction form
    2,709.90/4,070.31 = 1,616.40/x
  3. Step 3: Cross multiply
    2,709.90x = 4,070.31 × 1,616.40
  4. Step 4: Simplify right side
    2,709.90x = 6,579,249.08
  5. Step 5: Solve for x
    x = 6,579,249.08/2,709.90
  6. Step 6: Final answer
    x = 2,427.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.