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Finding the Fourth Proportional to 3,460.96, 4,776.22 and 1,969.12

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Solution

The fourth proportional to 3,460.96, 4,776.22 and 1,969.12 is: 2,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.96 : 4,776.22 = 1,969.12 : x
  2. Step 2: Convert to fraction form
    3,460.96/4,776.22 = 1,969.12/x
  3. Step 3: Cross multiply
    3,460.96x = 4,776.22 × 1,969.12
  4. Step 4: Simplify right side
    3,460.96x = 9,404,950.33
  5. Step 5: Solve for x
    x = 9,404,950.33/3,460.96
  6. Step 6: Final answer
    x = 2,717.44

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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.