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Finding the Fourth Proportional to 2,221.06, 3,332.40 and 1,051.42

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Solution

The fourth proportional to 2,221.06, 3,332.40 and 1,051.42 is: 1,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.06 : 3,332.40 = 1,051.42 : x
  2. Step 2: Convert to fraction form
    2,221.06/3,332.40 = 1,051.42/x
  3. Step 3: Cross multiply
    2,221.06x = 3,332.40 × 1,051.42
  4. Step 4: Simplify right side
    2,221.06x = 3,503,752.01
  5. Step 5: Solve for x
    x = 3,503,752.01/2,221.06
  6. Step 6: Final answer
    x = 1,577.51

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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.