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Finding the Fourth Proportional to 2,364.80, 3,544.92 and 882.95

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Solution

The fourth proportional to 2,364.80, 3,544.92 and 882.95 is: 1,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.80 : 3,544.92 = 882.95 : x
  2. Step 2: Convert to fraction form
    2,364.80/3,544.92 = 882.95/x
  3. Step 3: Cross multiply
    2,364.80x = 3,544.92 × 882.95
  4. Step 4: Simplify right side
    2,364.80x = 3,129,969.39
  5. Step 5: Solve for x
    x = 3,129,969.39/2,364.80
  6. Step 6: Final answer
    x = 1,323.57

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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.