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Finding the Fourth Proportional to 1,666.21, 2,499.59 and 511.69

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Solution

The fourth proportional to 1,666.21, 2,499.59 and 511.69 is: 767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.21 : 2,499.59 = 511.69 : x
  2. Step 2: Convert to fraction form
    1,666.21/2,499.59 = 511.69/x
  3. Step 3: Cross multiply
    1,666.21x = 2,499.59 × 511.69
  4. Step 4: Simplify right side
    1,666.21x = 1,279,015.21
  5. Step 5: Solve for x
    x = 1,279,015.21/1,666.21
  6. Step 6: Final answer
    x = 767.62

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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.