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Finding the Fourth Proportional to 2,523.95, 3,783.48 and 1,291.94

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Solution

The fourth proportional to 2,523.95, 3,783.48 and 1,291.94 is: 1,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.95 : 3,783.48 = 1,291.94 : x
  2. Step 2: Convert to fraction form
    2,523.95/3,783.48 = 1,291.94/x
  3. Step 3: Cross multiply
    2,523.95x = 3,783.48 × 1,291.94
  4. Step 4: Simplify right side
    2,523.95x = 4,888,010.23
  5. Step 5: Solve for x
    x = 4,888,010.23/2,523.95
  6. Step 6: Final answer
    x = 1,936.65

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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.