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Finding the Fourth Proportional to 1,551.90, 2,329.65 and 936.30

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Solution

The fourth proportional to 1,551.90, 2,329.65 and 936.30 is: 1,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.90 : 2,329.65 = 936.30 : x
  2. Step 2: Convert to fraction form
    1,551.90/2,329.65 = 936.30/x
  3. Step 3: Cross multiply
    1,551.90x = 2,329.65 × 936.30
  4. Step 4: Simplify right side
    1,551.90x = 2,181,251.30
  5. Step 5: Solve for x
    x = 2,181,251.30/1,551.90
  6. Step 6: Final answer
    x = 1,405.54

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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.