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Finding the Fourth Proportional to 2,149.08, 2,969.37 and 1,710.87

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Solution

The fourth proportional to 2,149.08, 2,969.37 and 1,710.87 is: 2,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.08 : 2,969.37 = 1,710.87 : x
  2. Step 2: Convert to fraction form
    2,149.08/2,969.37 = 1,710.87/x
  3. Step 3: Cross multiply
    2,149.08x = 2,969.37 × 1,710.87
  4. Step 4: Simplify right side
    2,149.08x = 5,080,206.05
  5. Step 5: Solve for x
    x = 5,080,206.05/2,149.08
  6. Step 6: Final answer
    x = 2,363.90

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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.