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Finding the Fourth Proportional to 2,542.10, 3,507.06 and 1,597.58

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Solution

The fourth proportional to 2,542.10, 3,507.06 and 1,597.58 is: 2,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.10 : 3,507.06 = 1,597.58 : x
  2. Step 2: Convert to fraction form
    2,542.10/3,507.06 = 1,597.58/x
  3. Step 3: Cross multiply
    2,542.10x = 3,507.06 × 1,597.58
  4. Step 4: Simplify right side
    2,542.10x = 5,602,791.38
  5. Step 5: Solve for x
    x = 5,602,791.38/2,542.10
  6. Step 6: Final answer
    x = 2,204.01

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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.