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Finding the Fourth Proportional to 3,296.56, 4,549.21 and 1,880.21

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Solution

The fourth proportional to 3,296.56, 4,549.21 and 1,880.21 is: 2,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.56 : 4,549.21 = 1,880.21 : x
  2. Step 2: Convert to fraction form
    3,296.56/4,549.21 = 1,880.21/x
  3. Step 3: Cross multiply
    3,296.56x = 4,549.21 × 1,880.21
  4. Step 4: Simplify right side
    3,296.56x = 8,553,470.32
  5. Step 5: Solve for x
    x = 8,553,470.32/3,296.56
  6. Step 6: Final answer
    x = 2,594.67

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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.