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Finding the Fourth Proportional to 1,237.73, 1,857.80 and 942.48

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Solution

The fourth proportional to 1,237.73, 1,857.80 and 942.48 is: 1,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.73 : 1,857.80 = 942.48 : x
  2. Step 2: Convert to fraction form
    1,237.73/1,857.80 = 942.48/x
  3. Step 3: Cross multiply
    1,237.73x = 1,857.80 × 942.48
  4. Step 4: Simplify right side
    1,237.73x = 1,750,941.70
  5. Step 5: Solve for x
    x = 1,750,941.70/1,237.73
  6. Step 6: Final answer
    x = 1,414.65

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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.