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Finding the Fourth Proportional to 1,566.96, 2,162.24 and 903.76

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Solution

The fourth proportional to 1,566.96, 2,162.24 and 903.76 is: 1,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.96 : 2,162.24 = 903.76 : x
  2. Step 2: Convert to fraction form
    1,566.96/2,162.24 = 903.76/x
  3. Step 3: Cross multiply
    1,566.96x = 2,162.24 × 903.76
  4. Step 4: Simplify right side
    1,566.96x = 1,954,146.02
  5. Step 5: Solve for x
    x = 1,954,146.02/1,566.96
  6. Step 6: Final answer
    x = 1,247.09

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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.