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Finding the Fourth Proportional to 2,355.95, 3,534.47 and 1,201.43

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Solution

The fourth proportional to 2,355.95, 3,534.47 and 1,201.43 is: 1,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.95 : 3,534.47 = 1,201.43 : x
  2. Step 2: Convert to fraction form
    2,355.95/3,534.47 = 1,201.43/x
  3. Step 3: Cross multiply
    2,355.95x = 3,534.47 × 1,201.43
  4. Step 4: Simplify right side
    2,355.95x = 4,246,418.29
  5. Step 5: Solve for x
    x = 4,246,418.29/2,355.95
  6. Step 6: Final answer
    x = 1,802.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.