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Finding the Fourth Proportional to 2,614.15, 3,918.48 and 858.70

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Solution

The fourth proportional to 2,614.15, 3,918.48 and 858.70 is: 1,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.15 : 3,918.48 = 858.70 : x
  2. Step 2: Convert to fraction form
    2,614.15/3,918.48 = 858.70/x
  3. Step 3: Cross multiply
    2,614.15x = 3,918.48 × 858.70
  4. Step 4: Simplify right side
    2,614.15x = 3,364,800.45
  5. Step 5: Solve for x
    x = 3,364,800.45/2,614.15
  6. Step 6: Final answer
    x = 1,287.15

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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.