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Finding the Fourth Proportional to 2,106.62, 2,900.84 and 1,663.14

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Solution

The fourth proportional to 2,106.62, 2,900.84 and 1,663.14 is: 2,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.62 : 2,900.84 = 1,663.14 : x
  2. Step 2: Convert to fraction form
    2,106.62/2,900.84 = 1,663.14/x
  3. Step 3: Cross multiply
    2,106.62x = 2,900.84 × 1,663.14
  4. Step 4: Simplify right side
    2,106.62x = 4,824,494.72
  5. Step 5: Solve for x
    x = 4,824,494.72/2,106.62
  6. Step 6: Final answer
    x = 2,290.16

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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.