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Finding the Fourth Proportional to 1,806.12, 2,710.26 and 1,670.85

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Solution

The fourth proportional to 1,806.12, 2,710.26 and 1,670.85 is: 2,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.12 : 2,710.26 = 1,670.85 : x
  2. Step 2: Convert to fraction form
    1,806.12/2,710.26 = 1,670.85/x
  3. Step 3: Cross multiply
    1,806.12x = 2,710.26 × 1,670.85
  4. Step 4: Simplify right side
    1,806.12x = 4,528,437.92
  5. Step 5: Solve for x
    x = 4,528,437.92/1,806.12
  6. Step 6: Final answer
    x = 2,507.27

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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.