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Finding the Fourth Proportional to 2,920.70, 4,381.05 and 1,462.70

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Solution

The fourth proportional to 2,920.70, 4,381.05 and 1,462.70 is: 2,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.70 : 4,381.05 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    2,920.70/4,381.05 = 1,462.70/x
  3. Step 3: Cross multiply
    2,920.70x = 4,381.05 × 1,462.70
  4. Step 4: Simplify right side
    2,920.70x = 6,408,161.84
  5. Step 5: Solve for x
    x = 6,408,161.84/2,920.70
  6. Step 6: Final answer
    x = 2,194.05

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Similar ratio
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1.5x scale

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.