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Finding the Fourth Proportional to 2,114.56, 3,172.04 and 816

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Solution

The fourth proportional to 2,114.56, 3,172.04 and 816 is: 1,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.56 : 3,172.04 = 816 : x
  2. Step 2: Convert to fraction form
    2,114.56/3,172.04 = 816/x
  3. Step 3: Cross multiply
    2,114.56x = 3,172.04 × 816
  4. Step 4: Simplify right side
    2,114.56x = 2,588,384.64
  5. Step 5: Solve for x
    x = 2,588,384.64/2,114.56
  6. Step 6: Final answer
    x = 1,224.08

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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.