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Finding the Fourth Proportional to 3,171.60, 4,377.50 and 1,826.93

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Solution

The fourth proportional to 3,171.60, 4,377.50 and 1,826.93 is: 2,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.60 : 4,377.50 = 1,826.93 : x
  2. Step 2: Convert to fraction form
    3,171.60/4,377.50 = 1,826.93/x
  3. Step 3: Cross multiply
    3,171.60x = 4,377.50 × 1,826.93
  4. Step 4: Simplify right side
    3,171.60x = 7,997,386.08
  5. Step 5: Solve for x
    x = 7,997,386.08/3,171.60
  6. Step 6: Final answer
    x = 2,521.56

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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.