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Finding the Fourth Proportional to 1,856.99, 2,783.77 and 931.75

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Solution

The fourth proportional to 1,856.99, 2,783.77 and 931.75 is: 1,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.99 : 2,783.77 = 931.75 : x
  2. Step 2: Convert to fraction form
    1,856.99/2,783.77 = 931.75/x
  3. Step 3: Cross multiply
    1,856.99x = 2,783.77 × 931.75
  4. Step 4: Simplify right side
    1,856.99x = 2,593,768.41
  5. Step 5: Solve for x
    x = 2,593,768.41/1,856.99
  6. Step 6: Final answer
    x = 1,396.76

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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.