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Finding the Fourth Proportional to 2,214.68, 3,322.59 and 654.68

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Solution

The fourth proportional to 2,214.68, 3,322.59 and 654.68 is: 982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.68 : 3,322.59 = 654.68 : x
  2. Step 2: Convert to fraction form
    2,214.68/3,322.59 = 654.68/x
  3. Step 3: Cross multiply
    2,214.68x = 3,322.59 × 654.68
  4. Step 4: Simplify right side
    2,214.68x = 2,175,219.43
  5. Step 5: Solve for x
    x = 2,175,219.43/2,214.68
  6. Step 6: Final answer
    x = 982.18

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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.