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Finding the Fourth Proportional to 1,866.44, 2,576.76 and 1,292.60

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Solution

The fourth proportional to 1,866.44, 2,576.76 and 1,292.60 is: 1,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.44 : 2,576.76 = 1,292.60 : x
  2. Step 2: Convert to fraction form
    1,866.44/2,576.76 = 1,292.60/x
  3. Step 3: Cross multiply
    1,866.44x = 2,576.76 × 1,292.60
  4. Step 4: Simplify right side
    1,866.44x = 3,330,719.98
  5. Step 5: Solve for x
    x = 3,330,719.98/1,866.44
  6. Step 6: Final answer
    x = 1,784.53

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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.