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Finding the Fourth Proportional to 1,494.71, 2,239.70 and 1,262.51

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Solution

The fourth proportional to 1,494.71, 2,239.70 and 1,262.51 is: 1,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.71 : 2,239.70 = 1,262.51 : x
  2. Step 2: Convert to fraction form
    1,494.71/2,239.70 = 1,262.51/x
  3. Step 3: Cross multiply
    1,494.71x = 2,239.70 × 1,262.51
  4. Step 4: Simplify right side
    1,494.71x = 2,827,642.93
  5. Step 5: Solve for x
    x = 2,827,642.93/1,494.71
  6. Step 6: Final answer
    x = 1,891.76

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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.