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Finding the Fourth Proportional to 2,330.98, 3,496.57 and 687.49

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Solution

The fourth proportional to 2,330.98, 3,496.57 and 687.49 is: 1,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.98 : 3,496.57 = 687.49 : x
  2. Step 2: Convert to fraction form
    2,330.98/3,496.57 = 687.49/x
  3. Step 3: Cross multiply
    2,330.98x = 3,496.57 × 687.49
  4. Step 4: Simplify right side
    2,330.98x = 2,403,846.45
  5. Step 5: Solve for x
    x = 2,403,846.45/2,330.98
  6. Step 6: Final answer
    x = 1,031.26

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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.