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Finding the Fourth Proportional to 2,265.76, 3,399 and 804.88

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Solution

The fourth proportional to 2,265.76, 3,399 and 804.88 is: 1,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.76 : 3,399 = 804.88 : x
  2. Step 2: Convert to fraction form
    2,265.76/3,399 = 804.88/x
  3. Step 3: Cross multiply
    2,265.76x = 3,399 × 804.88
  4. Step 4: Simplify right side
    2,265.76x = 2,735,787.12
  5. Step 5: Solve for x
    x = 2,735,787.12/2,265.76
  6. Step 6: Final answer
    x = 1,207.45

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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.