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Finding the Fourth Proportional to 2,114.82, 3,172.16 and 654.08

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Solution

The fourth proportional to 2,114.82, 3,172.16 and 654.08 is: 981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.82 : 3,172.16 = 654.08 : x
  2. Step 2: Convert to fraction form
    2,114.82/3,172.16 = 654.08/x
  3. Step 3: Cross multiply
    2,114.82x = 3,172.16 × 654.08
  4. Step 4: Simplify right side
    2,114.82x = 2,074,846.41
  5. Step 5: Solve for x
    x = 2,074,846.41/2,114.82
  6. Step 6: Final answer
    x = 981.10

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1.5x scale

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.