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Finding the Fourth Proportional to 2,671.71, 3,682.44 and 1,830.93

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Solution

The fourth proportional to 2,671.71, 3,682.44 and 1,830.93 is: 2,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.71 : 3,682.44 = 1,830.93 : x
  2. Step 2: Convert to fraction form
    2,671.71/3,682.44 = 1,830.93/x
  3. Step 3: Cross multiply
    2,671.71x = 3,682.44 × 1,830.93
  4. Step 4: Simplify right side
    2,671.71x = 6,742,289.87
  5. Step 5: Solve for x
    x = 6,742,289.87/2,671.71
  6. Step 6: Final answer
    x = 2,523.59

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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.