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Finding the Fourth Proportional to 2,114.97, 3,172.47 and 654.09

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Solution

The fourth proportional to 2,114.97, 3,172.47 and 654.09 is: 981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.97 : 3,172.47 = 654.09 : x
  2. Step 2: Convert to fraction form
    2,114.97/3,172.47 = 654.09/x
  3. Step 3: Cross multiply
    2,114.97x = 3,172.47 × 654.09
  4. Step 4: Simplify right side
    2,114.97x = 2,075,080.90
  5. Step 5: Solve for x
    x = 2,075,080.90/2,114.97
  6. Step 6: Final answer
    x = 981.14

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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.