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Finding the Fourth Proportional to 2,536.49, 3,804.97 and 687.62

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Solution

The fourth proportional to 2,536.49, 3,804.97 and 687.62 is: 1,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.49 : 3,804.97 = 687.62 : x
  2. Step 2: Convert to fraction form
    2,536.49/3,804.97 = 687.62/x
  3. Step 3: Cross multiply
    2,536.49x = 3,804.97 × 687.62
  4. Step 4: Simplify right side
    2,536.49x = 2,616,373.47
  5. Step 5: Solve for x
    x = 2,616,373.47/2,536.49
  6. Step 6: Final answer
    x = 1,031.49

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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.