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Finding the Fourth Proportional to 2,059.68, 2,840.94 and 1,747.02

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Solution

The fourth proportional to 2,059.68, 2,840.94 and 1,747.02 is: 2,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.68 : 2,840.94 = 1,747.02 : x
  2. Step 2: Convert to fraction form
    2,059.68/2,840.94 = 1,747.02/x
  3. Step 3: Cross multiply
    2,059.68x = 2,840.94 × 1,747.02
  4. Step 4: Simplify right side
    2,059.68x = 4,963,179.00
  5. Step 5: Solve for x
    x = 4,963,179.00/2,059.68
  6. Step 6: Final answer
    x = 2,409.68

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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.