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Finding the Fourth Proportional to 2,070.99, 3,102.87 and 1,726.53

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Solution

The fourth proportional to 2,070.99, 3,102.87 and 1,726.53 is: 2,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.99 : 3,102.87 = 1,726.53 : x
  2. Step 2: Convert to fraction form
    2,070.99/3,102.87 = 1,726.53/x
  3. Step 3: Cross multiply
    2,070.99x = 3,102.87 × 1,726.53
  4. Step 4: Simplify right side
    2,070.99x = 5,357,198.14
  5. Step 5: Solve for x
    x = 5,357,198.14/2,070.99
  6. Step 6: Final answer
    x = 2,586.78

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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.