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Finding the Fourth Proportional to 1,741.64, 2,612.04 and 816.31

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Solution

The fourth proportional to 1,741.64, 2,612.04 and 816.31 is: 1,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.64 : 2,612.04 = 816.31 : x
  2. Step 2: Convert to fraction form
    1,741.64/2,612.04 = 816.31/x
  3. Step 3: Cross multiply
    1,741.64x = 2,612.04 × 816.31
  4. Step 4: Simplify right side
    1,741.64x = 2,132,234.37
  5. Step 5: Solve for x
    x = 2,132,234.37/1,741.64
  6. Step 6: Final answer
    x = 1,224.27

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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.