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Finding the Fourth Proportional to 2,605.48, 3,922.23 and 2,248.20

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Solution

The fourth proportional to 2,605.48, 3,922.23 and 2,248.20 is: 3,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.48 : 3,922.23 = 2,248.20 : x
  2. Step 2: Convert to fraction form
    2,605.48/3,922.23 = 2,248.20/x
  3. Step 3: Cross multiply
    2,605.48x = 3,922.23 × 2,248.20
  4. Step 4: Simplify right side
    2,605.48x = 8,817,957.49
  5. Step 5: Solve for x
    x = 8,817,957.49/2,605.48
  6. Step 6: Final answer
    x = 3,384.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.