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Finding the Fourth Proportional to 2,669.68, 3,685.98 and 1,739.80

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Solution

The fourth proportional to 2,669.68, 3,685.98 and 1,739.80 is: 2,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.68 : 3,685.98 = 1,739.80 : x
  2. Step 2: Convert to fraction form
    2,669.68/3,685.98 = 1,739.80/x
  3. Step 3: Cross multiply
    2,669.68x = 3,685.98 × 1,739.80
  4. Step 4: Simplify right side
    2,669.68x = 6,412,868.00
  5. Step 5: Solve for x
    x = 6,412,868.00/2,669.68
  6. Step 6: Final answer
    x = 2,402.11

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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.