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Finding the Fourth Proportional to 2,403.86, 3,603.74 and 1,290.78

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Solution

The fourth proportional to 2,403.86, 3,603.74 and 1,290.78 is: 1,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.86 : 3,603.74 = 1,290.78 : x
  2. Step 2: Convert to fraction form
    2,403.86/3,603.74 = 1,290.78/x
  3. Step 3: Cross multiply
    2,403.86x = 3,603.74 × 1,290.78
  4. Step 4: Simplify right side
    2,403.86x = 4,651,629.06
  5. Step 5: Solve for x
    x = 4,651,629.06/2,403.86
  6. Step 6: Final answer
    x = 1,935.07

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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.