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Finding the Fourth Proportional to 2,102.46, 2,900.66 and 1,217.63

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Solution

The fourth proportional to 2,102.46, 2,900.66 and 1,217.63 is: 1,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.46 : 2,900.66 = 1,217.63 : x
  2. Step 2: Convert to fraction form
    2,102.46/2,900.66 = 1,217.63/x
  3. Step 3: Cross multiply
    2,102.46x = 2,900.66 × 1,217.63
  4. Step 4: Simplify right side
    2,102.46x = 3,531,938.65
  5. Step 5: Solve for x
    x = 3,531,938.65/2,102.46
  6. Step 6: Final answer
    x = 1,679.91

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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.