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Finding the Fourth Proportional to 3,460.36, 4,775.28 and 1,968.28

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Solution

The fourth proportional to 3,460.36, 4,775.28 and 1,968.28 is: 2,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.36 : 4,775.28 = 1,968.28 : x
  2. Step 2: Convert to fraction form
    3,460.36/4,775.28 = 1,968.28/x
  3. Step 3: Cross multiply
    3,460.36x = 4,775.28 × 1,968.28
  4. Step 4: Simplify right side
    3,460.36x = 9,399,088.12
  5. Step 5: Solve for x
    x = 9,399,088.12/3,460.36
  6. Step 6: Final answer
    x = 2,716.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.