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Finding the Fourth Proportional to 2,646.03, 3,969.08 and 914.25

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Solution

The fourth proportional to 2,646.03, 3,969.08 and 914.25 is: 1,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.03 : 3,969.08 = 914.25 : x
  2. Step 2: Convert to fraction form
    2,646.03/3,969.08 = 914.25/x
  3. Step 3: Cross multiply
    2,646.03x = 3,969.08 × 914.25
  4. Step 4: Simplify right side
    2,646.03x = 3,628,731.39
  5. Step 5: Solve for x
    x = 3,628,731.39/2,646.03
  6. Step 6: Final answer
    x = 1,371.39

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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.