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Finding the Fourth Proportional to 2,926.69, 4,038.83 and 1,600.39

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Solution

The fourth proportional to 2,926.69, 4,038.83 and 1,600.39 is: 2,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.69 : 4,038.83 = 1,600.39 : x
  2. Step 2: Convert to fraction form
    2,926.69/4,038.83 = 1,600.39/x
  3. Step 3: Cross multiply
    2,926.69x = 4,038.83 × 1,600.39
  4. Step 4: Simplify right side
    2,926.69x = 6,463,697.05
  5. Step 5: Solve for x
    x = 6,463,697.05/2,926.69
  6. Step 6: Final answer
    x = 2,208.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.