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Finding the Fourth Proportional to 1,566.14, 2,348.46 and 640.94

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Solution

The fourth proportional to 1,566.14, 2,348.46 and 640.94 is: 961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.14 : 2,348.46 = 640.94 : x
  2. Step 2: Convert to fraction form
    1,566.14/2,348.46 = 640.94/x
  3. Step 3: Cross multiply
    1,566.14x = 2,348.46 × 640.94
  4. Step 4: Simplify right side
    1,566.14x = 1,505,210.21
  5. Step 5: Solve for x
    x = 1,505,210.21/1,566.14
  6. Step 6: Final answer
    x = 961.10

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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.