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Finding the Fourth Proportional to 2,378.69, 3,568.04 and 839.69

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Solution

The fourth proportional to 2,378.69, 3,568.04 and 839.69 is: 1,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.69 : 3,568.04 = 839.69 : x
  2. Step 2: Convert to fraction form
    2,378.69/3,568.04 = 839.69/x
  3. Step 3: Cross multiply
    2,378.69x = 3,568.04 × 839.69
  4. Step 4: Simplify right side
    2,378.69x = 2,996,047.51
  5. Step 5: Solve for x
    x = 2,996,047.51/2,378.69
  6. Step 6: Final answer
    x = 1,259.54

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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.