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Finding the Fourth Proportional to 3,460.71, 4,775.61 and 1,968.42

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Solution

The fourth proportional to 3,460.71, 4,775.61 and 1,968.42 is: 2,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.71 : 4,775.61 = 1,968.42 : x
  2. Step 2: Convert to fraction form
    3,460.71/4,775.61 = 1,968.42/x
  3. Step 3: Cross multiply
    3,460.71x = 4,775.61 × 1,968.42
  4. Step 4: Simplify right side
    3,460.71x = 9,400,406.24
  5. Step 5: Solve for x
    x = 9,400,406.24/3,460.71
  6. Step 6: Final answer
    x = 2,716.32

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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.