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Finding the Fourth Proportional to 1,566.91, 2,350.38 and 412.66

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Solution

The fourth proportional to 1,566.91, 2,350.38 and 412.66 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.91 : 2,350.38 = 412.66 : x
  2. Step 2: Convert to fraction form
    1,566.91/2,350.38 = 412.66/x
  3. Step 3: Cross multiply
    1,566.91x = 2,350.38 × 412.66
  4. Step 4: Simplify right side
    1,566.91x = 969,907.81
  5. Step 5: Solve for x
    x = 969,907.81/1,566.91
  6. Step 6: Final answer
    x = 618.99

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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.