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Finding the Fourth Proportional to 1,608.12, 2,215.65 and 1,341.60

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Solution

The fourth proportional to 1,608.12, 2,215.65 and 1,341.60 is: 1,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.12 : 2,215.65 = 1,341.60 : x
  2. Step 2: Convert to fraction form
    1,608.12/2,215.65 = 1,341.60/x
  3. Step 3: Cross multiply
    1,608.12x = 2,215.65 × 1,341.60
  4. Step 4: Simplify right side
    1,608.12x = 2,972,516.04
  5. Step 5: Solve for x
    x = 2,972,516.04/1,608.12
  6. Step 6: Final answer
    x = 1,848.44

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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.