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Finding the Fourth Proportional to 2,148.84, 3,221.64 and 1,108.40

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Solution

The fourth proportional to 2,148.84, 3,221.64 and 1,108.40 is: 1,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.84 : 3,221.64 = 1,108.40 : x
  2. Step 2: Convert to fraction form
    2,148.84/3,221.64 = 1,108.40/x
  3. Step 3: Cross multiply
    2,148.84x = 3,221.64 × 1,108.40
  4. Step 4: Simplify right side
    2,148.84x = 3,570,849.67
  5. Step 5: Solve for x
    x = 3,570,849.67/2,148.84
  6. Step 6: Final answer
    x = 1,661.76

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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.