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Finding the Fourth Proportional to 2,139.69, 3,209.52 and 1,709.58

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Solution

The fourth proportional to 2,139.69, 3,209.52 and 1,709.58 is: 2,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.69 : 3,209.52 = 1,709.58 : x
  2. Step 2: Convert to fraction form
    2,139.69/3,209.52 = 1,709.58/x
  3. Step 3: Cross multiply
    2,139.69x = 3,209.52 × 1,709.58
  4. Step 4: Simplify right side
    2,139.69x = 5,486,931.20
  5. Step 5: Solve for x
    x = 5,486,931.20/2,139.69
  6. Step 6: Final answer
    x = 2,564.36

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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.