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Finding the Fourth Proportional to 1,853.91, 2,558.39 and 1,014.62

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Solution

The fourth proportional to 1,853.91, 2,558.39 and 1,014.62 is: 1,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.91 : 2,558.39 = 1,014.62 : x
  2. Step 2: Convert to fraction form
    1,853.91/2,558.39 = 1,014.62/x
  3. Step 3: Cross multiply
    1,853.91x = 2,558.39 × 1,014.62
  4. Step 4: Simplify right side
    1,853.91x = 2,595,775.80
  5. Step 5: Solve for x
    x = 2,595,775.80/1,853.91
  6. Step 6: Final answer
    x = 1,400.16

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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.