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Finding the Fourth Proportional to 2,224.50, 3,070.17 and 2,126.06

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Solution

The fourth proportional to 2,224.50, 3,070.17 and 2,126.06 is: 2,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.50 : 3,070.17 = 2,126.06 : x
  2. Step 2: Convert to fraction form
    2,224.50/3,070.17 = 2,126.06/x
  3. Step 3: Cross multiply
    2,224.50x = 3,070.17 × 2,126.06
  4. Step 4: Simplify right side
    2,224.50x = 6,527,365.63
  5. Step 5: Solve for x
    x = 6,527,365.63/2,224.50
  6. Step 6: Final answer
    x = 2,934.31

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