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Finding the Fourth Proportional to 1,583.50, 2,185.14 and 920.24

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Solution

The fourth proportional to 1,583.50, 2,185.14 and 920.24 is: 1,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.50 : 2,185.14 = 920.24 : x
  2. Step 2: Convert to fraction form
    1,583.50/2,185.14 = 920.24/x
  3. Step 3: Cross multiply
    1,583.50x = 2,185.14 × 920.24
  4. Step 4: Simplify right side
    1,583.50x = 2,010,855.53
  5. Step 5: Solve for x
    x = 2,010,855.53/1,583.50
  6. Step 6: Final answer
    x = 1,269.88

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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.