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Finding the Fourth Proportional to 2,102.71, 2,904.61 and 1,826.60

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Solution

The fourth proportional to 2,102.71, 2,904.61 and 1,826.60 is: 2,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.71 : 2,904.61 = 1,826.60 : x
  2. Step 2: Convert to fraction form
    2,102.71/2,904.61 = 1,826.60/x
  3. Step 3: Cross multiply
    2,102.71x = 2,904.61 × 1,826.60
  4. Step 4: Simplify right side
    2,102.71x = 5,305,561.30
  5. Step 5: Solve for x
    x = 5,305,561.30/2,102.71
  6. Step 6: Final answer
    x = 2,523.20

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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.