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Finding the Fourth Proportional to 1,494.22, 2,239.50 and 1,127.86

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Solution

The fourth proportional to 1,494.22, 2,239.50 and 1,127.86 is: 1,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.22 : 2,239.50 = 1,127.86 : x
  2. Step 2: Convert to fraction form
    1,494.22/2,239.50 = 1,127.86/x
  3. Step 3: Cross multiply
    1,494.22x = 2,239.50 × 1,127.86
  4. Step 4: Simplify right side
    1,494.22x = 2,525,842.47
  5. Step 5: Solve for x
    x = 2,525,842.47/1,494.22
  6. Step 6: Final answer
    x = 1,690.41

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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.