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Finding the Fourth Proportional to 2,143.35, 3,216.09 and 1,047.69

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Solution

The fourth proportional to 2,143.35, 3,216.09 and 1,047.69 is: 1,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.35 : 3,216.09 = 1,047.69 : x
  2. Step 2: Convert to fraction form
    2,143.35/3,216.09 = 1,047.69/x
  3. Step 3: Cross multiply
    2,143.35x = 3,216.09 × 1,047.69
  4. Step 4: Simplify right side
    2,143.35x = 3,369,465.33
  5. Step 5: Solve for x
    x = 3,369,465.33/2,143.35
  6. Step 6: Final answer
    x = 1,572.06

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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.