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Finding the Fourth Proportional to 3,059.65, 4,222.31 and 1,733.28

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Solution

The fourth proportional to 3,059.65, 4,222.31 and 1,733.28 is: 2,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.65 : 4,222.31 = 1,733.28 : x
  2. Step 2: Convert to fraction form
    3,059.65/4,222.31 = 1,733.28/x
  3. Step 3: Cross multiply
    3,059.65x = 4,222.31 × 1,733.28
  4. Step 4: Simplify right side
    3,059.65x = 7,318,445.48
  5. Step 5: Solve for x
    x = 7,318,445.48/3,059.65
  6. Step 6: Final answer
    x = 2,391.92

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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.