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Finding the Fourth Proportional to 3,077.01, 4,615.74 and 885.78

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Solution

The fourth proportional to 3,077.01, 4,615.74 and 885.78 is: 1,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.01 : 4,615.74 = 885.78 : x
  2. Step 2: Convert to fraction form
    3,077.01/4,615.74 = 885.78/x
  3. Step 3: Cross multiply
    3,077.01x = 4,615.74 × 885.78
  4. Step 4: Simplify right side
    3,077.01x = 4,088,530.18
  5. Step 5: Solve for x
    x = 4,088,530.18/3,077.01
  6. Step 6: Final answer
    x = 1,328.73

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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.