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Finding the Fourth Proportional to 1,880.05, 2,819.38 and 647.11

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Solution

The fourth proportional to 1,880.05, 2,819.38 and 647.11 is: 970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.05 : 2,819.38 = 647.11 : x
  2. Step 2: Convert to fraction form
    1,880.05/2,819.38 = 647.11/x
  3. Step 3: Cross multiply
    1,880.05x = 2,819.38 × 647.11
  4. Step 4: Simplify right side
    1,880.05x = 1,824,448.99
  5. Step 5: Solve for x
    x = 1,824,448.99/1,880.05
  6. Step 6: Final answer
    x = 970.43

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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.