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Finding the Fourth Proportional to 2,041.69, 3,055.23 and 1,768.72

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Solution

The fourth proportional to 2,041.69, 3,055.23 and 1,768.72 is: 2,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.69 : 3,055.23 = 1,768.72 : x
  2. Step 2: Convert to fraction form
    2,041.69/3,055.23 = 1,768.72/x
  3. Step 3: Cross multiply
    2,041.69x = 3,055.23 × 1,768.72
  4. Step 4: Simplify right side
    2,041.69x = 5,403,846.41
  5. Step 5: Solve for x
    x = 5,403,846.41/2,041.69
  6. Step 6: Final answer
    x = 2,646.75

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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.