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Finding the Fourth Proportional to 2,986.06, 4,118 and 1,866.64

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Solution

The fourth proportional to 2,986.06, 4,118 and 1,866.64 is: 2,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.06 : 4,118 = 1,866.64 : x
  2. Step 2: Convert to fraction form
    2,986.06/4,118 = 1,866.64/x
  3. Step 3: Cross multiply
    2,986.06x = 4,118 × 1,866.64
  4. Step 4: Simplify right side
    2,986.06x = 7,686,823.52
  5. Step 5: Solve for x
    x = 7,686,823.52/2,986.06
  6. Step 6: Final answer
    x = 2,574.24

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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.