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Finding the Fourth Proportional to 2,134.62, 2,942.55 and 1,668.06

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Solution

The fourth proportional to 2,134.62, 2,942.55 and 1,668.06 is: 2,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.62 : 2,942.55 = 1,668.06 : x
  2. Step 2: Convert to fraction form
    2,134.62/2,942.55 = 1,668.06/x
  3. Step 3: Cross multiply
    2,134.62x = 2,942.55 × 1,668.06
  4. Step 4: Simplify right side
    2,134.62x = 4,908,349.95
  5. Step 5: Solve for x
    x = 4,908,349.95/2,134.62
  6. Step 6: Final answer
    x = 2,299.40

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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.