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Finding the Fourth Proportional to 3,041.78, 4,197.56 and 1,697.42

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Solution

The fourth proportional to 3,041.78, 4,197.56 and 1,697.42 is: 2,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.78 : 4,197.56 = 1,697.42 : x
  2. Step 2: Convert to fraction form
    3,041.78/4,197.56 = 1,697.42/x
  3. Step 3: Cross multiply
    3,041.78x = 4,197.56 × 1,697.42
  4. Step 4: Simplify right side
    3,041.78x = 7,125,030.67
  5. Step 5: Solve for x
    x = 7,125,030.67/3,041.78
  6. Step 6: Final answer
    x = 2,342.39

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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.