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Finding the Fourth Proportional to 2,438.90, 3,656.97 and 1,659.94

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Solution

The fourth proportional to 2,438.90, 3,656.97 and 1,659.94 is: 2,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.90 : 3,656.97 = 1,659.94 : x
  2. Step 2: Convert to fraction form
    2,438.90/3,656.97 = 1,659.94/x
  3. Step 3: Cross multiply
    2,438.90x = 3,656.97 × 1,659.94
  4. Step 4: Simplify right side
    2,438.90x = 6,070,366.88
  5. Step 5: Solve for x
    x = 6,070,366.88/2,438.90
  6. Step 6: Final answer
    x = 2,488.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.