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Finding the Fourth Proportional to 2,804.72, 4,207.10 and 856.96

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Solution

The fourth proportional to 2,804.72, 4,207.10 and 856.96 is: 1,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.72 : 4,207.10 = 856.96 : x
  2. Step 2: Convert to fraction form
    2,804.72/4,207.10 = 856.96/x
  3. Step 3: Cross multiply
    2,804.72x = 4,207.10 × 856.96
  4. Step 4: Simplify right side
    2,804.72x = 3,605,316.42
  5. Step 5: Solve for x
    x = 3,605,316.42/2,804.72
  6. Step 6: Final answer
    x = 1,285.45

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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.