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Finding the Fourth Proportional to 2,887.50, 3,983.00 and 1,708.95

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Solution

The fourth proportional to 2,887.50, 3,983.00 and 1,708.95 is: 2,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.50 : 3,983.00 = 1,708.95 : x
  2. Step 2: Convert to fraction form
    2,887.50/3,983.00 = 1,708.95/x
  3. Step 3: Cross multiply
    2,887.50x = 3,983.00 × 1,708.95
  4. Step 4: Simplify right side
    2,887.50x = 6,806,739.31
  5. Step 5: Solve for x
    x = 6,806,739.31/2,887.50
  6. Step 6: Final answer
    x = 2,357.31

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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.