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Finding the Fourth Proportional to 2,053.76, 3,079.76 and 666.63

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Solution

The fourth proportional to 2,053.76, 3,079.76 and 666.63 is: 999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.76 : 3,079.76 = 666.63 : x
  2. Step 2: Convert to fraction form
    2,053.76/3,079.76 = 666.63/x
  3. Step 3: Cross multiply
    2,053.76x = 3,079.76 × 666.63
  4. Step 4: Simplify right side
    2,053.76x = 2,053,057.08
  5. Step 5: Solve for x
    x = 2,053,057.08/2,053.76
  6. Step 6: Final answer
    x = 999.66

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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.