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Finding the Fourth Proportional to 2,584.62, 3,876.93 and 1,024.98

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Solution

The fourth proportional to 2,584.62, 3,876.93 and 1,024.98 is: 1,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.62 : 3,876.93 = 1,024.98 : x
  2. Step 2: Convert to fraction form
    2,584.62/3,876.93 = 1,024.98/x
  3. Step 3: Cross multiply
    2,584.62x = 3,876.93 × 1,024.98
  4. Step 4: Simplify right side
    2,584.62x = 3,973,775.71
  5. Step 5: Solve for x
    x = 3,973,775.71/2,584.62
  6. Step 6: Final answer
    x = 1,537.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.