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Finding the Fourth Proportional to 2,495.94, 3,741.40 and 2,058.54

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Solution

The fourth proportional to 2,495.94, 3,741.40 and 2,058.54 is: 3,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.94 : 3,741.40 = 2,058.54 : x
  2. Step 2: Convert to fraction form
    2,495.94/3,741.40 = 2,058.54/x
  3. Step 3: Cross multiply
    2,495.94x = 3,741.40 × 2,058.54
  4. Step 4: Simplify right side
    2,495.94x = 7,701,821.56
  5. Step 5: Solve for x
    x = 7,701,821.56/2,495.94
  6. Step 6: Final answer
    x = 3,085.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.