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Finding the Fourth Proportional to 2,866.19, 4,297.00 and 1,111.12

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Solution

The fourth proportional to 2,866.19, 4,297.00 and 1,111.12 is: 1,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.19 : 4,297.00 = 1,111.12 : x
  2. Step 2: Convert to fraction form
    2,866.19/4,297.00 = 1,111.12/x
  3. Step 3: Cross multiply
    2,866.19x = 4,297.00 × 1,111.12
  4. Step 4: Simplify right side
    2,866.19x = 4,774,471.20
  5. Step 5: Solve for x
    x = 4,774,471.20/2,866.19
  6. Step 6: Final answer
    x = 1,665.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.