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Finding the Fourth Proportional to 2,899.09, 3,999.16 and 1,834.91

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Solution

The fourth proportional to 2,899.09, 3,999.16 and 1,834.91 is: 2,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.09 : 3,999.16 = 1,834.91 : x
  2. Step 2: Convert to fraction form
    2,899.09/3,999.16 = 1,834.91/x
  3. Step 3: Cross multiply
    2,899.09x = 3,999.16 × 1,834.91
  4. Step 4: Simplify right side
    2,899.09x = 7,338,069.51
  5. Step 5: Solve for x
    x = 7,338,069.51/2,899.09
  6. Step 6: Final answer
    x = 2,531.17

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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.