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Finding the Fourth Proportional to 1,848.43, 2,550.87 and 1,020.43

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Solution

The fourth proportional to 1,848.43, 2,550.87 and 1,020.43 is: 1,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.43 : 2,550.87 = 1,020.43 : x
  2. Step 2: Convert to fraction form
    1,848.43/2,550.87 = 1,020.43/x
  3. Step 3: Cross multiply
    1,848.43x = 2,550.87 × 1,020.43
  4. Step 4: Simplify right side
    1,848.43x = 2,602,984.27
  5. Step 5: Solve for x
    x = 2,602,984.27/1,848.43
  6. Step 6: Final answer
    x = 1,408.21

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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.