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Finding the Fourth Proportional to 1,583.56, 2,185.14 and 920.44

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Solution

The fourth proportional to 1,583.56, 2,185.14 and 920.44 is: 1,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.56 : 2,185.14 = 920.44 : x
  2. Step 2: Convert to fraction form
    1,583.56/2,185.14 = 920.44/x
  3. Step 3: Cross multiply
    1,583.56x = 2,185.14 × 920.44
  4. Step 4: Simplify right side
    1,583.56x = 2,011,290.26
  5. Step 5: Solve for x
    x = 2,011,290.26/1,583.56
  6. Step 6: Final answer
    x = 1,270.11

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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.