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Finding the Fourth Proportional to 1,858.86, 2,784.85 and 1,330.68

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Solution

The fourth proportional to 1,858.86, 2,784.85 and 1,330.68 is: 1,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.86 : 2,784.85 = 1,330.68 : x
  2. Step 2: Convert to fraction form
    1,858.86/2,784.85 = 1,330.68/x
  3. Step 3: Cross multiply
    1,858.86x = 2,784.85 × 1,330.68
  4. Step 4: Simplify right side
    1,858.86x = 3,705,737.54
  5. Step 5: Solve for x
    x = 3,705,737.54/1,858.86
  6. Step 6: Final answer
    x = 1,993.55

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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.