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Finding the Fourth Proportional to 2,265.55, 3,398.67 and 804.58

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Solution

The fourth proportional to 2,265.55, 3,398.67 and 804.58 is: 1,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.55 : 3,398.67 = 804.58 : x
  2. Step 2: Convert to fraction form
    2,265.55/3,398.67 = 804.58/x
  3. Step 3: Cross multiply
    2,265.55x = 3,398.67 × 804.58
  4. Step 4: Simplify right side
    2,265.55x = 2,734,497.89
  5. Step 5: Solve for x
    x = 2,734,497.89/2,265.55
  6. Step 6: Final answer
    x = 1,206.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.