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Finding the Fourth Proportional to 1,485.67, 2,227.42 and 860.10

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Solution

The fourth proportional to 1,485.67, 2,227.42 and 860.10 is: 1,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.67 : 2,227.42 = 860.10 : x
  2. Step 2: Convert to fraction form
    1,485.67/2,227.42 = 860.10/x
  3. Step 3: Cross multiply
    1,485.67x = 2,227.42 × 860.10
  4. Step 4: Simplify right side
    1,485.67x = 1,915,803.94
  5. Step 5: Solve for x
    x = 1,915,803.94/1,485.67
  6. Step 6: Final answer
    x = 1,289.52

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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.