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Finding the Fourth Proportional to 2,871.98, 4,307.64 and 1,484.54

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Solution

The fourth proportional to 2,871.98, 4,307.64 and 1,484.54 is: 2,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.98 : 4,307.64 = 1,484.54 : x
  2. Step 2: Convert to fraction form
    2,871.98/4,307.64 = 1,484.54/x
  3. Step 3: Cross multiply
    2,871.98x = 4,307.64 × 1,484.54
  4. Step 4: Simplify right side
    2,871.98x = 6,394,863.89
  5. Step 5: Solve for x
    x = 6,394,863.89/2,871.98
  6. Step 6: Final answer
    x = 2,226.64

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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.