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Finding the Fourth Proportional to 1,566.91, 2,162.38 and 903.79

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Solution

The fourth proportional to 1,566.91, 2,162.38 and 903.79 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.91 : 2,162.38 = 903.79 : x
  2. Step 2: Convert to fraction form
    1,566.91/2,162.38 = 903.79/x
  3. Step 3: Cross multiply
    1,566.91x = 2,162.38 × 903.79
  4. Step 4: Simplify right side
    1,566.91x = 1,954,326.61
  5. Step 5: Solve for x
    x = 1,954,326.61/1,566.91
  6. Step 6: Final answer
    x = 1,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.