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Finding the Fourth Proportional to 1,896.13, 2,844.19 and 741.07

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Solution

The fourth proportional to 1,896.13, 2,844.19 and 741.07 is: 1,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.13 : 2,844.19 = 741.07 : x
  2. Step 2: Convert to fraction form
    1,896.13/2,844.19 = 741.07/x
  3. Step 3: Cross multiply
    1,896.13x = 2,844.19 × 741.07
  4. Step 4: Simplify right side
    1,896.13x = 2,107,725.96
  5. Step 5: Solve for x
    x = 2,107,725.96/1,896.13
  6. Step 6: Final answer
    x = 1,111.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.