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Finding the Fourth Proportional to 2,237.22, 3,085.02 and 1,449.90

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Solution

The fourth proportional to 2,237.22, 3,085.02 and 1,449.90 is: 1,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.22 : 3,085.02 = 1,449.90 : x
  2. Step 2: Convert to fraction form
    2,237.22/3,085.02 = 1,449.90/x
  3. Step 3: Cross multiply
    2,237.22x = 3,085.02 × 1,449.90
  4. Step 4: Simplify right side
    2,237.22x = 4,472,970.50
  5. Step 5: Solve for x
    x = 4,472,970.50/2,237.22
  6. Step 6: Final answer
    x = 1,999.34

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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.