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Finding the Fourth Proportional to 1,583.50, 2,185.24 and 920.49

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Solution

The fourth proportional to 1,583.50, 2,185.24 and 920.49 is: 1,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.50 : 2,185.24 = 920.49 : x
  2. Step 2: Convert to fraction form
    1,583.50/2,185.24 = 920.49/x
  3. Step 3: Cross multiply
    1,583.50x = 2,185.24 × 920.49
  4. Step 4: Simplify right side
    1,583.50x = 2,011,491.57
  5. Step 5: Solve for x
    x = 2,011,491.57/1,583.50
  6. Step 6: Final answer
    x = 1,270.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.