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Finding the Fourth Proportional to 1,365.69, 1,885.10 and 923.43

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Solution

The fourth proportional to 1,365.69, 1,885.10 and 923.43 is: 1,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.69 : 1,885.10 = 923.43 : x
  2. Step 2: Convert to fraction form
    1,365.69/1,885.10 = 923.43/x
  3. Step 3: Cross multiply
    1,365.69x = 1,885.10 × 923.43
  4. Step 4: Simplify right side
    1,365.69x = 1,740,753.28
  5. Step 5: Solve for x
    x = 1,740,753.28/1,365.69
  6. Step 6: Final answer
    x = 1,274.63

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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.