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Finding the Fourth Proportional to 1,855.20, 2,783.22 and 556.69

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Solution

The fourth proportional to 1,855.20, 2,783.22 and 556.69 is: 835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.20 : 2,783.22 = 556.69 : x
  2. Step 2: Convert to fraction form
    1,855.20/2,783.22 = 556.69/x
  3. Step 3: Cross multiply
    1,855.20x = 2,783.22 × 556.69
  4. Step 4: Simplify right side
    1,855.20x = 1,549,390.74
  5. Step 5: Solve for x
    x = 1,549,390.74/1,855.20
  6. Step 6: Final answer
    x = 835.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.