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Finding the Fourth Proportional to 2,804.36, 4,207.07 and 856.85

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Solution

The fourth proportional to 2,804.36, 4,207.07 and 856.85 is: 1,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.36 : 4,207.07 = 856.85 : x
  2. Step 2: Convert to fraction form
    2,804.36/4,207.07 = 856.85/x
  3. Step 3: Cross multiply
    2,804.36x = 4,207.07 × 856.85
  4. Step 4: Simplify right side
    2,804.36x = 3,604,809.04
  5. Step 5: Solve for x
    x = 3,604,809.04/2,804.36
  6. Step 6: Final answer
    x = 1,285.43

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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.