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Finding the Fourth Proportional to 2,920.82, 4,030.85 and 1,741.87

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Solution

The fourth proportional to 2,920.82, 4,030.85 and 1,741.87 is: 2,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.82 : 4,030.85 = 1,741.87 : x
  2. Step 2: Convert to fraction form
    2,920.82/4,030.85 = 1,741.87/x
  3. Step 3: Cross multiply
    2,920.82x = 4,030.85 × 1,741.87
  4. Step 4: Simplify right side
    2,920.82x = 7,021,187.83
  5. Step 5: Solve for x
    x = 7,021,187.83/2,920.82
  6. Step 6: Final answer
    x = 2,403.84

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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.