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Finding the Fourth Proportional to 1,342.77, 1,851.55 and 923.73

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Solution

The fourth proportional to 1,342.77, 1,851.55 and 923.73 is: 1,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.77 : 1,851.55 = 923.73 : x
  2. Step 2: Convert to fraction form
    1,342.77/1,851.55 = 923.73/x
  3. Step 3: Cross multiply
    1,342.77x = 1,851.55 × 923.73
  4. Step 4: Simplify right side
    1,342.77x = 1,710,332.28
  5. Step 5: Solve for x
    x = 1,710,332.28/1,342.77
  6. Step 6: Final answer
    x = 1,273.73

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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.