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Finding the Fourth Proportional to 2,280.72, 3,147.99 and 1,486.23

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Solution

The fourth proportional to 2,280.72, 3,147.99 and 1,486.23 is: 2,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.72 : 3,147.99 = 1,486.23 : x
  2. Step 2: Convert to fraction form
    2,280.72/3,147.99 = 1,486.23/x
  3. Step 3: Cross multiply
    2,280.72x = 3,147.99 × 1,486.23
  4. Step 4: Simplify right side
    2,280.72x = 4,678,637.18
  5. Step 5: Solve for x
    x = 4,678,637.18/2,280.72
  6. Step 6: Final answer
    x = 2,051.39

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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.