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Finding the Fourth Proportional to 1,444.08, 1,993 and 1,398.72

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Solution

The fourth proportional to 1,444.08, 1,993 and 1,398.72 is: 1,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.08 : 1,993 = 1,398.72 : x
  2. Step 2: Convert to fraction form
    1,444.08/1,993 = 1,398.72/x
  3. Step 3: Cross multiply
    1,444.08x = 1,993 × 1,398.72
  4. Step 4: Simplify right side
    1,444.08x = 2,787,648.96
  5. Step 5: Solve for x
    x = 2,787,648.96/1,444.08
  6. Step 6: Final answer
    x = 1,930.40

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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.