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Finding the Fourth Proportional to 2,139.41, 3,209.63 and 1,043.52

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Solution

The fourth proportional to 2,139.41, 3,209.63 and 1,043.52 is: 1,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.41 : 3,209.63 = 1,043.52 : x
  2. Step 2: Convert to fraction form
    2,139.41/3,209.63 = 1,043.52/x
  3. Step 3: Cross multiply
    2,139.41x = 3,209.63 × 1,043.52
  4. Step 4: Simplify right side
    2,139.41x = 3,349,313.10
  5. Step 5: Solve for x
    x = 3,349,313.10/2,139.41
  6. Step 6: Final answer
    x = 1,565.53

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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.