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Finding the Fourth Proportional to 2,798.44, 4,195.86 and 1,066.12

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Solution

The fourth proportional to 2,798.44, 4,195.86 and 1,066.12 is: 1,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.44 : 4,195.86 = 1,066.12 : x
  2. Step 2: Convert to fraction form
    2,798.44/4,195.86 = 1,066.12/x
  3. Step 3: Cross multiply
    2,798.44x = 4,195.86 × 1,066.12
  4. Step 4: Simplify right side
    2,798.44x = 4,473,290.26
  5. Step 5: Solve for x
    x = 4,473,290.26/2,798.44
  6. Step 6: Final answer
    x = 1,598.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.