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Finding the Fourth Proportional to 2,626.79, 3,939.88 and 678.84

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Solution

The fourth proportional to 2,626.79, 3,939.88 and 678.84 is: 1,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.79 : 3,939.88 = 678.84 : x
  2. Step 2: Convert to fraction form
    2,626.79/3,939.88 = 678.84/x
  3. Step 3: Cross multiply
    2,626.79x = 3,939.88 × 678.84
  4. Step 4: Simplify right side
    2,626.79x = 2,674,548.14
  5. Step 5: Solve for x
    x = 2,674,548.14/2,626.79
  6. Step 6: Final answer
    x = 1,018.18

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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.