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Finding the Fourth Proportional to 2,794.20, 4,191.32 and 846.40

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Solution

The fourth proportional to 2,794.20, 4,191.32 and 846.40 is: 1,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.20 : 4,191.32 = 846.40 : x
  2. Step 2: Convert to fraction form
    2,794.20/4,191.32 = 846.40/x
  3. Step 3: Cross multiply
    2,794.20x = 4,191.32 × 846.40
  4. Step 4: Simplify right side
    2,794.20x = 3,547,533.25
  5. Step 5: Solve for x
    x = 3,547,533.25/2,794.20
  6. Step 6: Final answer
    x = 1,269.61

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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.