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Finding the Fourth Proportional to 1,578.30, 2,365.47 and 927.42

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Solution

The fourth proportional to 1,578.30, 2,365.47 and 927.42 is: 1,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.30 : 2,365.47 = 927.42 : x
  2. Step 2: Convert to fraction form
    1,578.30/2,365.47 = 927.42/x
  3. Step 3: Cross multiply
    1,578.30x = 2,365.47 × 927.42
  4. Step 4: Simplify right side
    1,578.30x = 2,193,784.19
  5. Step 5: Solve for x
    x = 2,193,784.19/1,578.30
  6. Step 6: Final answer
    x = 1,389.97

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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.