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Finding the Fourth Proportional to 2,663.74, 3,656.41 and 2,362.42

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Solution

The fourth proportional to 2,663.74, 3,656.41 and 2,362.42 is: 3,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.74 : 3,656.41 = 2,362.42 : x
  2. Step 2: Convert to fraction form
    2,663.74/3,656.41 = 2,362.42/x
  3. Step 3: Cross multiply
    2,663.74x = 3,656.41 × 2,362.42
  4. Step 4: Simplify right side
    2,663.74x = 8,637,976.11
  5. Step 5: Solve for x
    x = 8,637,976.11/2,663.74
  6. Step 6: Final answer
    x = 3,242.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.