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Finding the Fourth Proportional to 1,853.56, 2,559.09 and 1,656.73

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Solution

The fourth proportional to 1,853.56, 2,559.09 and 1,656.73 is: 2,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.56 : 2,559.09 = 1,656.73 : x
  2. Step 2: Convert to fraction form
    1,853.56/2,559.09 = 1,656.73/x
  3. Step 3: Cross multiply
    1,853.56x = 2,559.09 × 1,656.73
  4. Step 4: Simplify right side
    1,853.56x = 4,239,721.18
  5. Step 5: Solve for x
    x = 4,239,721.18/1,853.56
  6. Step 6: Final answer
    x = 2,287.34

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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.