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Finding the Fourth Proportional to 2,114.66, 3,172.32 and 654.14

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Solution

The fourth proportional to 2,114.66, 3,172.32 and 654.14 is: 981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.66 : 3,172.32 = 654.14 : x
  2. Step 2: Convert to fraction form
    2,114.66/3,172.32 = 654.14/x
  3. Step 3: Cross multiply
    2,114.66x = 3,172.32 × 654.14
  4. Step 4: Simplify right side
    2,114.66x = 2,075,141.40
  5. Step 5: Solve for x
    x = 2,075,141.40/2,114.66
  6. Step 6: Final answer
    x = 981.31

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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.