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Finding the Fourth Proportional to 1,858.78, 2,786.55 and 884.35

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Solution

The fourth proportional to 1,858.78, 2,786.55 and 884.35 is: 1,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.78 : 2,786.55 = 884.35 : x
  2. Step 2: Convert to fraction form
    1,858.78/2,786.55 = 884.35/x
  3. Step 3: Cross multiply
    1,858.78x = 2,786.55 × 884.35
  4. Step 4: Simplify right side
    1,858.78x = 2,464,285.49
  5. Step 5: Solve for x
    x = 2,464,285.49/1,858.78
  6. Step 6: Final answer
    x = 1,325.75

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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.