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Finding the Fourth Proportional to 3,041.70, 4,197.48 and 1,782.78

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Solution

The fourth proportional to 3,041.70, 4,197.48 and 1,782.78 is: 2,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.70 : 4,197.48 = 1,782.78 : x
  2. Step 2: Convert to fraction form
    3,041.70/4,197.48 = 1,782.78/x
  3. Step 3: Cross multiply
    3,041.70x = 4,197.48 × 1,782.78
  4. Step 4: Simplify right side
    3,041.70x = 7,483,183.39
  5. Step 5: Solve for x
    x = 7,483,183.39/3,041.70
  6. Step 6: Final answer
    x = 2,460.20

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