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Finding the Fourth Proportional to 1,609.42, 2,218.80 and 1,078.34

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Solution

The fourth proportional to 1,609.42, 2,218.80 and 1,078.34 is: 1,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.42 : 2,218.80 = 1,078.34 : x
  2. Step 2: Convert to fraction form
    1,609.42/2,218.80 = 1,078.34/x
  3. Step 3: Cross multiply
    1,609.42x = 2,218.80 × 1,078.34
  4. Step 4: Simplify right side
    1,609.42x = 2,392,620.79
  5. Step 5: Solve for x
    x = 2,392,620.79/1,609.42
  6. Step 6: Final answer
    x = 1,486.64

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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.