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Finding the Fourth Proportional to 2,859.70, 4,289.55 and 1,012.90

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Solution

The fourth proportional to 2,859.70, 4,289.55 and 1,012.90 is: 1,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.70 : 4,289.55 = 1,012.90 : x
  2. Step 2: Convert to fraction form
    2,859.70/4,289.55 = 1,012.90/x
  3. Step 3: Cross multiply
    2,859.70x = 4,289.55 × 1,012.90
  4. Step 4: Simplify right side
    2,859.70x = 4,344,885.20
  5. Step 5: Solve for x
    x = 4,344,885.20/2,859.70
  6. Step 6: Final answer
    x = 1,519.35

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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.