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Finding the Fourth Proportional to 2,109.01, 3,177.80 and 1,751.80

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Solution

The fourth proportional to 2,109.01, 3,177.80 and 1,751.80 is: 2,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.01 : 3,177.80 = 1,751.80 : x
  2. Step 2: Convert to fraction form
    2,109.01/3,177.80 = 1,751.80/x
  3. Step 3: Cross multiply
    2,109.01x = 3,177.80 × 1,751.80
  4. Step 4: Simplify right side
    2,109.01x = 5,566,870.04
  5. Step 5: Solve for x
    x = 5,566,870.04/2,109.01
  6. Step 6: Final answer
    x = 2,639.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.