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Finding the Fourth Proportional to 2,145.84, 3,214.54 and 1,218.61

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Solution

The fourth proportional to 2,145.84, 3,214.54 and 1,218.61 is: 1,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.84 : 3,214.54 = 1,218.61 : x
  2. Step 2: Convert to fraction form
    2,145.84/3,214.54 = 1,218.61/x
  3. Step 3: Cross multiply
    2,145.84x = 3,214.54 × 1,218.61
  4. Step 4: Simplify right side
    2,145.84x = 3,917,270.59
  5. Step 5: Solve for x
    x = 3,917,270.59/2,145.84
  6. Step 6: Final answer
    x = 1,825.52

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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.