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Finding the Fourth Proportional to 1,666.72, 2,499.84 and 800.80

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Solution

The fourth proportional to 1,666.72, 2,499.84 and 800.80 is: 1,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.72 : 2,499.84 = 800.80 : x
  2. Step 2: Convert to fraction form
    1,666.72/2,499.84 = 800.80/x
  3. Step 3: Cross multiply
    1,666.72x = 2,499.84 × 800.80
  4. Step 4: Simplify right side
    1,666.72x = 2,001,871.87
  5. Step 5: Solve for x
    x = 2,001,871.87/1,666.72
  6. Step 6: Final answer
    x = 1,201.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.