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Finding the Fourth Proportional to 2,798.84, 4,197.24 and 1,043.42

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Solution

The fourth proportional to 2,798.84, 4,197.24 and 1,043.42 is: 1,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.84 : 4,197.24 = 1,043.42 : x
  2. Step 2: Convert to fraction form
    2,798.84/4,197.24 = 1,043.42/x
  3. Step 3: Cross multiply
    2,798.84x = 4,197.24 × 1,043.42
  4. Step 4: Simplify right side
    2,798.84x = 4,379,484.16
  5. Step 5: Solve for x
    x = 4,379,484.16/2,798.84
  6. Step 6: Final answer
    x = 1,564.75

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