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Finding the Fourth Proportional to 2,887.80, 3,984.90 and 1,708.68

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Solution

The fourth proportional to 2,887.80, 3,984.90 and 1,708.68 is: 2,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.80 : 3,984.90 = 1,708.68 : x
  2. Step 2: Convert to fraction form
    2,887.80/3,984.90 = 1,708.68/x
  3. Step 3: Cross multiply
    2,887.80x = 3,984.90 × 1,708.68
  4. Step 4: Simplify right side
    2,887.80x = 6,808,918.93
  5. Step 5: Solve for x
    x = 6,808,918.93/2,887.80
  6. Step 6: Final answer
    x = 2,357.82

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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.