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Finding the Fourth Proportional to 1,857.63, 2,786.90 and 930.89

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Solution

The fourth proportional to 1,857.63, 2,786.90 and 930.89 is: 1,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.63 : 2,786.90 = 930.89 : x
  2. Step 2: Convert to fraction form
    1,857.63/2,786.90 = 930.89/x
  3. Step 3: Cross multiply
    1,857.63x = 2,786.90 × 930.89
  4. Step 4: Simplify right side
    1,857.63x = 2,594,278.75
  5. Step 5: Solve for x
    x = 2,594,278.75/1,857.63
  6. Step 6: Final answer
    x = 1,396.55

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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.