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Finding the Fourth Proportional to 1,246.60, 1,866.21 and 923.41

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Solution

The fourth proportional to 1,246.60, 1,866.21 and 923.41 is: 1,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.60 : 1,866.21 = 923.41 : x
  2. Step 2: Convert to fraction form
    1,246.60/1,866.21 = 923.41/x
  3. Step 3: Cross multiply
    1,246.60x = 1,866.21 × 923.41
  4. Step 4: Simplify right side
    1,246.60x = 1,723,276.98
  5. Step 5: Solve for x
    x = 1,723,276.98/1,246.60
  6. Step 6: Final answer
    x = 1,382.38

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Why These Related Problems?

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