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Finding the Fourth Proportional to 1,240.12, 1,860.14 and 418.38

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Solution

The fourth proportional to 1,240.12, 1,860.14 and 418.38 is: 627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.12 : 1,860.14 = 418.38 : x
  2. Step 2: Convert to fraction form
    1,240.12/1,860.14 = 418.38/x
  3. Step 3: Cross multiply
    1,240.12x = 1,860.14 × 418.38
  4. Step 4: Simplify right side
    1,240.12x = 778,245.37
  5. Step 5: Solve for x
    x = 778,245.37/1,240.12
  6. Step 6: Final answer
    x = 627.56

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