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Finding the Fourth Proportional to 2,612.41, 3,918.60 and 664.77

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Solution

The fourth proportional to 2,612.41, 3,918.60 and 664.77 is: 997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.41 : 3,918.60 = 664.77 : x
  2. Step 2: Convert to fraction form
    2,612.41/3,918.60 = 664.77/x
  3. Step 3: Cross multiply
    2,612.41x = 3,918.60 × 664.77
  4. Step 4: Simplify right side
    2,612.41x = 2,604,967.72
  5. Step 5: Solve for x
    x = 2,604,967.72/2,612.41
  6. Step 6: Final answer
    x = 997.15

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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.