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Finding the Fourth Proportional to 2,429.31, 3,354.05 and 1,868.74

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Solution

The fourth proportional to 2,429.31, 3,354.05 and 1,868.74 is: 2,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.31 : 3,354.05 = 1,868.74 : x
  2. Step 2: Convert to fraction form
    2,429.31/3,354.05 = 1,868.74/x
  3. Step 3: Cross multiply
    2,429.31x = 3,354.05 × 1,868.74
  4. Step 4: Simplify right side
    2,429.31x = 6,267,847.40
  5. Step 5: Solve for x
    x = 6,267,847.40/2,429.31
  6. Step 6: Final answer
    x = 2,580.09

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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.