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Finding the Fourth Proportional to 2,920.54, 4,029.86 and 1,741.18

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Solution

The fourth proportional to 2,920.54, 4,029.86 and 1,741.18 is: 2,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.54 : 4,029.86 = 1,741.18 : x
  2. Step 2: Convert to fraction form
    2,920.54/4,029.86 = 1,741.18/x
  3. Step 3: Cross multiply
    2,920.54x = 4,029.86 × 1,741.18
  4. Step 4: Simplify right side
    2,920.54x = 7,016,711.63
  5. Step 5: Solve for x
    x = 7,016,711.63/2,920.54
  6. Step 6: Final answer
    x = 2,402.54

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Why These Related Problems?

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