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Finding the Fourth Proportional to 2,696.72, 3,713.64 and 2,342.48

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Solution

The fourth proportional to 2,696.72, 3,713.64 and 2,342.48 is: 3,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.72 : 3,713.64 = 2,342.48 : x
  2. Step 2: Convert to fraction form
    2,696.72/3,713.64 = 2,342.48/x
  3. Step 3: Cross multiply
    2,696.72x = 3,713.64 × 2,342.48
  4. Step 4: Simplify right side
    2,696.72x = 8,699,127.43
  5. Step 5: Solve for x
    x = 8,699,127.43/2,696.72
  6. Step 6: Final answer
    x = 3,225.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.