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Finding the Fourth Proportional to 1,601.80, 2,210.84 and 1,012.23

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Solution

The fourth proportional to 1,601.80, 2,210.84 and 1,012.23 is: 1,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.80 : 2,210.84 = 1,012.23 : x
  2. Step 2: Convert to fraction form
    1,601.80/2,210.84 = 1,012.23/x
  3. Step 3: Cross multiply
    1,601.80x = 2,210.84 × 1,012.23
  4. Step 4: Simplify right side
    1,601.80x = 2,237,870.05
  5. Step 5: Solve for x
    x = 2,237,870.05/1,601.80
  6. Step 6: Final answer
    x = 1,397.09

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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.