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Finding the Fourth Proportional to 2,083.68, 3,124.98 and 1,159.74

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Solution

The fourth proportional to 2,083.68, 3,124.98 and 1,159.74 is: 1,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.68 : 3,124.98 = 1,159.74 : x
  2. Step 2: Convert to fraction form
    2,083.68/3,124.98 = 1,159.74/x
  3. Step 3: Cross multiply
    2,083.68x = 3,124.98 × 1,159.74
  4. Step 4: Simplify right side
    2,083.68x = 3,624,164.31
  5. Step 5: Solve for x
    x = 3,624,164.31/2,083.68
  6. Step 6: Final answer
    x = 1,739.31

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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.