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Finding the Fourth Proportional to 2,221.34, 3,065.68 and 1,660.84

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Solution

The fourth proportional to 2,221.34, 3,065.68 and 1,660.84 is: 2,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.34 : 3,065.68 = 1,660.84 : x
  2. Step 2: Convert to fraction form
    2,221.34/3,065.68 = 1,660.84/x
  3. Step 3: Cross multiply
    2,221.34x = 3,065.68 × 1,660.84
  4. Step 4: Simplify right side
    2,221.34x = 5,091,598.38
  5. Step 5: Solve for x
    x = 5,091,598.38/2,221.34
  6. Step 6: Final answer
    x = 2,292.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.