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Finding the Fourth Proportional to 3,077.46, 4,615.16 and 996.91

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Solution

The fourth proportional to 3,077.46, 4,615.16 and 996.91 is: 1,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.46 : 4,615.16 = 996.91 : x
  2. Step 2: Convert to fraction form
    3,077.46/4,615.16 = 996.91/x
  3. Step 3: Cross multiply
    3,077.46x = 4,615.16 × 996.91
  4. Step 4: Simplify right side
    3,077.46x = 4,600,899.16
  5. Step 5: Solve for x
    x = 4,600,899.16/3,077.46
  6. Step 6: Final answer
    x = 1,495.03

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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.