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Finding the Fourth Proportional to 2,289.43, 3,160.02 and 1,581.40

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Solution

The fourth proportional to 2,289.43, 3,160.02 and 1,581.40 is: 2,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.43 : 3,160.02 = 1,581.40 : x
  2. Step 2: Convert to fraction form
    2,289.43/3,160.02 = 1,581.40/x
  3. Step 3: Cross multiply
    2,289.43x = 3,160.02 × 1,581.40
  4. Step 4: Simplify right side
    2,289.43x = 4,997,255.63
  5. Step 5: Solve for x
    x = 4,997,255.63/2,289.43
  6. Step 6: Final answer
    x = 2,182.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.