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Finding the Fourth Proportional to 2,652.70, 3,661.59 and 1,866.94

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Solution

The fourth proportional to 2,652.70, 3,661.59 and 1,866.94 is: 2,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.70 : 3,661.59 = 1,866.94 : x
  2. Step 2: Convert to fraction form
    2,652.70/3,661.59 = 1,866.94/x
  3. Step 3: Cross multiply
    2,652.70x = 3,661.59 × 1,866.94
  4. Step 4: Simplify right side
    2,652.70x = 6,835,968.83
  5. Step 5: Solve for x
    x = 6,835,968.83/2,652.70
  6. Step 6: Final answer
    x = 2,576.99

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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.