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Finding the Fourth Proportional to 2,485.73, 3,728.75 and 841.71

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Solution

The fourth proportional to 2,485.73, 3,728.75 and 841.71 is: 1,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.73 : 3,728.75 = 841.71 : x
  2. Step 2: Convert to fraction form
    2,485.73/3,728.75 = 841.71/x
  3. Step 3: Cross multiply
    2,485.73x = 3,728.75 × 841.71
  4. Step 4: Simplify right side
    2,485.73x = 3,138,528.27
  5. Step 5: Solve for x
    x = 3,138,528.27/2,485.73
  6. Step 6: Final answer
    x = 1,262.62

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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.