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Finding the Fourth Proportional to 2,636.19, 3,952.95 and 880.57

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Solution

The fourth proportional to 2,636.19, 3,952.95 and 880.57 is: 1,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.19 : 3,952.95 = 880.57 : x
  2. Step 2: Convert to fraction form
    2,636.19/3,952.95 = 880.57/x
  3. Step 3: Cross multiply
    2,636.19x = 3,952.95 × 880.57
  4. Step 4: Simplify right side
    2,636.19x = 3,480,839.30
  5. Step 5: Solve for x
    x = 3,480,839.30/2,636.19
  6. Step 6: Final answer
    x = 1,320.41

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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.