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Finding the Fourth Proportional to 1,583.50, 2,185.67 and 920.22

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Solution

The fourth proportional to 1,583.50, 2,185.67 and 920.22 is: 1,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.50 : 2,185.67 = 920.22 : x
  2. Step 2: Convert to fraction form
    1,583.50/2,185.67 = 920.22/x
  3. Step 3: Cross multiply
    1,583.50x = 2,185.67 × 920.22
  4. Step 4: Simplify right side
    1,583.50x = 2,011,292.65
  5. Step 5: Solve for x
    x = 2,011,292.65/1,583.50
  6. Step 6: Final answer
    x = 1,270.16

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1.5x scale

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.