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Finding the Fourth Proportional to 2,438.69, 3,656.68 and 1,659.75

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Solution

The fourth proportional to 2,438.69, 3,656.68 and 1,659.75 is: 2,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.69 : 3,656.68 = 1,659.75 : x
  2. Step 2: Convert to fraction form
    2,438.69/3,656.68 = 1,659.75/x
  3. Step 3: Cross multiply
    2,438.69x = 3,656.68 × 1,659.75
  4. Step 4: Simplify right side
    2,438.69x = 6,069,155.84
  5. Step 5: Solve for x
    x = 6,069,155.84/2,438.69
  6. Step 6: Final answer
    x = 2,488.69

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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.