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Finding the Fourth Proportional to 1,652.98, 2,479.85 and 960.23

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Solution

The fourth proportional to 1,652.98, 2,479.85 and 960.23 is: 1,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.98 : 2,479.85 = 960.23 : x
  2. Step 2: Convert to fraction form
    1,652.98/2,479.85 = 960.23/x
  3. Step 3: Cross multiply
    1,652.98x = 2,479.85 × 960.23
  4. Step 4: Simplify right side
    1,652.98x = 2,381,226.37
  5. Step 5: Solve for x
    x = 2,381,226.37/1,652.98
  6. Step 6: Final answer
    x = 1,440.57

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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.