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Finding the Fourth Proportional to 2,132.58, 2,943.18 and 1,201.08

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Solution

The fourth proportional to 2,132.58, 2,943.18 and 1,201.08 is: 1,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.58 : 2,943.18 = 1,201.08 : x
  2. Step 2: Convert to fraction form
    2,132.58/2,943.18 = 1,201.08/x
  3. Step 3: Cross multiply
    2,132.58x = 2,943.18 × 1,201.08
  4. Step 4: Simplify right side
    2,132.58x = 3,534,994.63
  5. Step 5: Solve for x
    x = 3,534,994.63/2,132.58
  6. Step 6: Final answer
    x = 1,657.61

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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.