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Finding the Fourth Proportional to 1,926.69, 2,889.99 and 465.84

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Solution

The fourth proportional to 1,926.69, 2,889.99 and 465.84 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.69 : 2,889.99 = 465.84 : x
  2. Step 2: Convert to fraction form
    1,926.69/2,889.99 = 465.84/x
  3. Step 3: Cross multiply
    1,926.69x = 2,889.99 × 465.84
  4. Step 4: Simplify right side
    1,926.69x = 1,346,272.94
  5. Step 5: Solve for x
    x = 1,346,272.94/1,926.69
  6. Step 6: Final answer
    x = 698.75

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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.