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Finding the Fourth Proportional to 2,270.92, 3,133.02 and 1,572.88

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Solution

The fourth proportional to 2,270.92, 3,133.02 and 1,572.88 is: 2,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.92 : 3,133.02 = 1,572.88 : x
  2. Step 2: Convert to fraction form
    2,270.92/3,133.02 = 1,572.88/x
  3. Step 3: Cross multiply
    2,270.92x = 3,133.02 × 1,572.88
  4. Step 4: Simplify right side
    2,270.92x = 4,927,864.50
  5. Step 5: Solve for x
    x = 4,927,864.50/2,270.92
  6. Step 6: Final answer
    x = 2,169.99

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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.