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Finding the Fourth Proportional to 2,203.51, 3,042.90 and 1,418.92

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Solution

The fourth proportional to 2,203.51, 3,042.90 and 1,418.92 is: 1,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.51 : 3,042.90 = 1,418.92 : x
  2. Step 2: Convert to fraction form
    2,203.51/3,042.90 = 1,418.92/x
  3. Step 3: Cross multiply
    2,203.51x = 3,042.90 × 1,418.92
  4. Step 4: Simplify right side
    2,203.51x = 4,317,631.67
  5. Step 5: Solve for x
    x = 4,317,631.67/2,203.51
  6. Step 6: Final answer
    x = 1,959.43

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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.