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Finding the Fourth Proportional to 2,244.44, 3,101.09 and 1,742.34

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Solution

The fourth proportional to 2,244.44, 3,101.09 and 1,742.34 is: 2,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.44 : 3,101.09 = 1,742.34 : x
  2. Step 2: Convert to fraction form
    2,244.44/3,101.09 = 1,742.34/x
  3. Step 3: Cross multiply
    2,244.44x = 3,101.09 × 1,742.34
  4. Step 4: Simplify right side
    2,244.44x = 5,403,156.07
  5. Step 5: Solve for x
    x = 5,403,156.07/2,244.44
  6. Step 6: Final answer
    x = 2,407.35

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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.