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Finding the Fourth Proportional to 1,880.21, 2,820.15 and 581.69

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Solution

The fourth proportional to 1,880.21, 2,820.15 and 581.69 is: 872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.21 : 2,820.15 = 581.69 : x
  2. Step 2: Convert to fraction form
    1,880.21/2,820.15 = 581.69/x
  3. Step 3: Cross multiply
    1,880.21x = 2,820.15 × 581.69
  4. Step 4: Simplify right side
    1,880.21x = 1,640,438.95
  5. Step 5: Solve for x
    x = 1,640,438.95/1,880.21
  6. Step 6: Final answer
    x = 872.48

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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.