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Finding the Fourth Proportional to 2,313.54, 3,472.14 and 853.73

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Solution

The fourth proportional to 2,313.54, 3,472.14 and 853.73 is: 1,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.54 : 3,472.14 = 853.73 : x
  2. Step 2: Convert to fraction form
    2,313.54/3,472.14 = 853.73/x
  3. Step 3: Cross multiply
    2,313.54x = 3,472.14 × 853.73
  4. Step 4: Simplify right side
    2,313.54x = 2,964,252.72
  5. Step 5: Solve for x
    x = 2,964,252.72/2,313.54
  6. Step 6: Final answer
    x = 1,281.26

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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.