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Finding the Fourth Proportional to 2,647.50, 3,971.52 and 916.12

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Solution

The fourth proportional to 2,647.50, 3,971.52 and 916.12 is: 1,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.50 : 3,971.52 = 916.12 : x
  2. Step 2: Convert to fraction form
    2,647.50/3,971.52 = 916.12/x
  3. Step 3: Cross multiply
    2,647.50x = 3,971.52 × 916.12
  4. Step 4: Simplify right side
    2,647.50x = 3,638,388.90
  5. Step 5: Solve for x
    x = 3,638,388.90/2,647.50
  6. Step 6: Final answer
    x = 1,374.27

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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.