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Finding the Fourth Proportional to 1,853.94, 2,558.79 and 1,454.79

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Solution

The fourth proportional to 1,853.94, 2,558.79 and 1,454.79 is: 2,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.94 : 2,558.79 = 1,454.79 : x
  2. Step 2: Convert to fraction form
    1,853.94/2,558.79 = 1,454.79/x
  3. Step 3: Cross multiply
    1,853.94x = 2,558.79 × 1,454.79
  4. Step 4: Simplify right side
    1,853.94x = 3,722,502.10
  5. Step 5: Solve for x
    x = 3,722,502.10/1,853.94
  6. Step 6: Final answer
    x = 2,007.89

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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.