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Finding the Fourth Proportional to 2,541.90, 3,506.37 and 1,597.32

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Solution

The fourth proportional to 2,541.90, 3,506.37 and 1,597.32 is: 2,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.90 : 3,506.37 = 1,597.32 : x
  2. Step 2: Convert to fraction form
    2,541.90/3,506.37 = 1,597.32/x
  3. Step 3: Cross multiply
    2,541.90x = 3,506.37 × 1,597.32
  4. Step 4: Simplify right side
    2,541.90x = 5,600,794.93
  5. Step 5: Solve for x
    x = 5,600,794.93/2,541.90
  6. Step 6: Final answer
    x = 2,203.39

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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.