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Finding the Fourth Proportional to 2,874.03, 4,307.44 and 1,228.64

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Solution

The fourth proportional to 2,874.03, 4,307.44 and 1,228.64 is: 1,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.03 : 4,307.44 = 1,228.64 : x
  2. Step 2: Convert to fraction form
    2,874.03/4,307.44 = 1,228.64/x
  3. Step 3: Cross multiply
    2,874.03x = 4,307.44 × 1,228.64
  4. Step 4: Simplify right side
    2,874.03x = 5,292,303.85
  5. Step 5: Solve for x
    x = 5,292,303.85/2,874.03
  6. Step 6: Final answer
    x = 1,841.42

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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.