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Finding the Fourth Proportional to 1,494.37, 2,239.57 and 672.49

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Solution

The fourth proportional to 1,494.37, 2,239.57 and 672.49 is: 1,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.37 : 2,239.57 = 672.49 : x
  2. Step 2: Convert to fraction form
    1,494.37/2,239.57 = 672.49/x
  3. Step 3: Cross multiply
    1,494.37x = 2,239.57 × 672.49
  4. Step 4: Simplify right side
    1,494.37x = 1,506,088.43
  5. Step 5: Solve for x
    x = 1,506,088.43/1,494.37
  6. Step 6: Final answer
    x = 1,007.84

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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.