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Finding the Fourth Proportional to 1,965.79, 2,951.12 and 1,559.98

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Solution

The fourth proportional to 1,965.79, 2,951.12 and 1,559.98 is: 2,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.79 : 2,951.12 = 1,559.98 : x
  2. Step 2: Convert to fraction form
    1,965.79/2,951.12 = 1,559.98/x
  3. Step 3: Cross multiply
    1,965.79x = 2,951.12 × 1,559.98
  4. Step 4: Simplify right side
    1,965.79x = 4,603,688.18
  5. Step 5: Solve for x
    x = 4,603,688.18/1,965.79
  6. Step 6: Final answer
    x = 2,341.90

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Why These Related Problems?

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