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Finding the Fourth Proportional to 2,804.08, 3,866.42 and 2,298.34

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Solution

The fourth proportional to 2,804.08, 3,866.42 and 2,298.34 is: 3,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.08 : 3,866.42 = 2,298.34 : x
  2. Step 2: Convert to fraction form
    2,804.08/3,866.42 = 2,298.34/x
  3. Step 3: Cross multiply
    2,804.08x = 3,866.42 × 2,298.34
  4. Step 4: Simplify right side
    2,804.08x = 8,886,347.74
  5. Step 5: Solve for x
    x = 8,886,347.74/2,804.08
  6. Step 6: Final answer
    x = 3,169.08

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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.