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Finding the Fourth Proportional to 2,846.39, 4,269.36 and 972.12

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Solution

The fourth proportional to 2,846.39, 4,269.36 and 972.12 is: 1,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.39 : 4,269.36 = 972.12 : x
  2. Step 2: Convert to fraction form
    2,846.39/4,269.36 = 972.12/x
  3. Step 3: Cross multiply
    2,846.39x = 4,269.36 × 972.12
  4. Step 4: Simplify right side
    2,846.39x = 4,150,330.24
  5. Step 5: Solve for x
    x = 4,150,330.24/2,846.39
  6. Step 6: Final answer
    x = 1,458.10

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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.