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Finding the Fourth Proportional to 2,804.29, 3,869.11 and 1,810.15

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Solution

The fourth proportional to 2,804.29, 3,869.11 and 1,810.15 is: 2,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.29 : 3,869.11 = 1,810.15 : x
  2. Step 2: Convert to fraction form
    2,804.29/3,869.11 = 1,810.15/x
  3. Step 3: Cross multiply
    2,804.29x = 3,869.11 × 1,810.15
  4. Step 4: Simplify right side
    2,804.29x = 7,003,669.47
  5. Step 5: Solve for x
    x = 7,003,669.47/2,804.29
  6. Step 6: Final answer
    x = 2,497.48

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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.