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Finding the Fourth Proportional to 1,699.36, 2,346.24 and 1,405.60

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Solution

The fourth proportional to 1,699.36, 2,346.24 and 1,405.60 is: 1,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.36 : 2,346.24 = 1,405.60 : x
  2. Step 2: Convert to fraction form
    1,699.36/2,346.24 = 1,405.60/x
  3. Step 3: Cross multiply
    1,699.36x = 2,346.24 × 1,405.60
  4. Step 4: Simplify right side
    1,699.36x = 3,297,874.94
  5. Step 5: Solve for x
    x = 3,297,874.94/1,699.36
  6. Step 6: Final answer
    x = 1,940.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.