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Finding the Fourth Proportional to 2,572.79, 3,857.73 and 817.46

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Solution

The fourth proportional to 2,572.79, 3,857.73 and 817.46 is: 1,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.79 : 3,857.73 = 817.46 : x
  2. Step 2: Convert to fraction form
    2,572.79/3,857.73 = 817.46/x
  3. Step 3: Cross multiply
    2,572.79x = 3,857.73 × 817.46
  4. Step 4: Simplify right side
    2,572.79x = 3,153,539.97
  5. Step 5: Solve for x
    x = 3,153,539.97/2,572.79
  6. Step 6: Final answer
    x = 1,225.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.