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Finding the Fourth Proportional to 2,378.98, 3,568.47 and 735.49

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Solution

The fourth proportional to 2,378.98, 3,568.47 and 735.49 is: 1,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.98 : 3,568.47 = 735.49 : x
  2. Step 2: Convert to fraction form
    2,378.98/3,568.47 = 735.49/x
  3. Step 3: Cross multiply
    2,378.98x = 3,568.47 × 735.49
  4. Step 4: Simplify right side
    2,378.98x = 2,624,588.60
  5. Step 5: Solve for x
    x = 2,624,588.60/2,378.98
  6. Step 6: Final answer
    x = 1,103.24

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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.