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Finding the Fourth Proportional to 1,218.60, 1,681.02 and 923.37

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Solution

The fourth proportional to 1,218.60, 1,681.02 and 923.37 is: 1,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.60 : 1,681.02 = 923.37 : x
  2. Step 2: Convert to fraction form
    1,218.60/1,681.02 = 923.37/x
  3. Step 3: Cross multiply
    1,218.60x = 1,681.02 × 923.37
  4. Step 4: Simplify right side
    1,218.60x = 1,552,203.44
  5. Step 5: Solve for x
    x = 1,552,203.44/1,218.60
  6. Step 6: Final answer
    x = 1,273.76

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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.