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Finding the Fourth Proportional to 1,880.34, 2,821.14 and 906.33

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Solution

The fourth proportional to 1,880.34, 2,821.14 and 906.33 is: 1,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.34 : 2,821.14 = 906.33 : x
  2. Step 2: Convert to fraction form
    1,880.34/2,821.14 = 906.33/x
  3. Step 3: Cross multiply
    1,880.34x = 2,821.14 × 906.33
  4. Step 4: Simplify right side
    1,880.34x = 2,556,883.82
  5. Step 5: Solve for x
    x = 2,556,883.82/1,880.34
  6. Step 6: Final answer
    x = 1,359.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.