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Finding the Fourth Proportional to 2,798.96, 4,197.72 and 1,066.64

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Solution

The fourth proportional to 2,798.96, 4,197.72 and 1,066.64 is: 1,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.96 : 4,197.72 = 1,066.64 : x
  2. Step 2: Convert to fraction form
    2,798.96/4,197.72 = 1,066.64/x
  3. Step 3: Cross multiply
    2,798.96x = 4,197.72 × 1,066.64
  4. Step 4: Simplify right side
    2,798.96x = 4,477,456.06
  5. Step 5: Solve for x
    x = 4,477,456.06/2,798.96
  6. Step 6: Final answer
    x = 1,599.69

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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.