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Finding the Fourth Proportional to 2,053.70, 3,080.86 and 666.78

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Solution

The fourth proportional to 2,053.70, 3,080.86 and 666.78 is: 1,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.70 : 3,080.86 = 666.78 : x
  2. Step 2: Convert to fraction form
    2,053.70/3,080.86 = 666.78/x
  3. Step 3: Cross multiply
    2,053.70x = 3,080.86 × 666.78
  4. Step 4: Simplify right side
    2,053.70x = 2,054,255.83
  5. Step 5: Solve for x
    x = 2,054,255.83/2,053.70
  6. Step 6: Final answer
    x = 1,000.27

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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.