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Finding the Fourth Proportional to 2,871.69, 4,307.92 and 1,023.30

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Solution

The fourth proportional to 2,871.69, 4,307.92 and 1,023.30 is: 1,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.69 : 4,307.92 = 1,023.30 : x
  2. Step 2: Convert to fraction form
    2,871.69/4,307.92 = 1,023.30/x
  3. Step 3: Cross multiply
    2,871.69x = 4,307.92 × 1,023.30
  4. Step 4: Simplify right side
    2,871.69x = 4,408,291.98
  5. Step 5: Solve for x
    x = 4,408,291.98/2,871.69
  6. Step 6: Final answer
    x = 1,535.09

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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.