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Finding the Fourth Proportional to 3,283, 4,530.48 and 1,790.94

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Solution

The fourth proportional to 3,283, 4,530.48 and 1,790.94 is: 2,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283 : 4,530.48 = 1,790.94 : x
  2. Step 2: Convert to fraction form
    3,283/4,530.48 = 1,790.94/x
  3. Step 3: Cross multiply
    3,283x = 4,530.48 × 1,790.94
  4. Step 4: Simplify right side
    3,283x = 8,113,817.85
  5. Step 5: Solve for x
    x = 8,113,817.85/3,283
  6. Step 6: Final answer
    x = 2,471.46

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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.