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Finding the Fourth Proportional to 2,126.97, 2,934.99 and 1,602.09

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Solution

The fourth proportional to 2,126.97, 2,934.99 and 1,602.09 is: 2,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.97 : 2,934.99 = 1,602.09 : x
  2. Step 2: Convert to fraction form
    2,126.97/2,934.99 = 1,602.09/x
  3. Step 3: Cross multiply
    2,126.97x = 2,934.99 × 1,602.09
  4. Step 4: Simplify right side
    2,126.97x = 4,702,118.13
  5. Step 5: Solve for x
    x = 4,702,118.13/2,126.97
  6. Step 6: Final answer
    x = 2,210.71

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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.