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Finding the Fourth Proportional to 2,053.07, 3,079.20 and 666.07

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Solution

The fourth proportional to 2,053.07, 3,079.20 and 666.07 is: 998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.07 : 3,079.20 = 666.07 : x
  2. Step 2: Convert to fraction form
    2,053.07/3,079.20 = 666.07/x
  3. Step 3: Cross multiply
    2,053.07x = 3,079.20 × 666.07
  4. Step 4: Simplify right side
    2,053.07x = 2,050,962.74
  5. Step 5: Solve for x
    x = 2,050,962.74/2,053.07
  6. Step 6: Final answer
    x = 998.97

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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.