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Finding the Fourth Proportional to 2,041.69, 3,048.64 and 1,926.19

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Solution

The fourth proportional to 2,041.69, 3,048.64 and 1,926.19 is: 2,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.69 : 3,048.64 = 1,926.19 : x
  2. Step 2: Convert to fraction form
    2,041.69/3,048.64 = 1,926.19/x
  3. Step 3: Cross multiply
    2,041.69x = 3,048.64 × 1,926.19
  4. Step 4: Simplify right side
    2,041.69x = 5,872,244.64
  5. Step 5: Solve for x
    x = 5,872,244.64/2,041.69
  6. Step 6: Final answer
    x = 2,876.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.