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Finding the Fourth Proportional to 2,277.84, 3,132.06 and 1,945.68

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Solution

The fourth proportional to 2,277.84, 3,132.06 and 1,945.68 is: 2,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.84 : 3,132.06 = 1,945.68 : x
  2. Step 2: Convert to fraction form
    2,277.84/3,132.06 = 1,945.68/x
  3. Step 3: Cross multiply
    2,277.84x = 3,132.06 × 1,945.68
  4. Step 4: Simplify right side
    2,277.84x = 6,093,986.50
  5. Step 5: Solve for x
    x = 6,093,986.50/2,277.84
  6. Step 6: Final answer
    x = 2,675.34

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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.