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Finding the Fourth Proportional to 1,600.24, 2,398.60 and 626.16

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Solution

The fourth proportional to 1,600.24, 2,398.60 and 626.16 is: 938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.24 : 2,398.60 = 626.16 : x
  2. Step 2: Convert to fraction form
    1,600.24/2,398.60 = 626.16/x
  3. Step 3: Cross multiply
    1,600.24x = 2,398.60 × 626.16
  4. Step 4: Simplify right side
    1,600.24x = 1,501,907.38
  5. Step 5: Solve for x
    x = 1,501,907.38/1,600.24
  6. Step 6: Final answer
    x = 938.55

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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.