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Finding the Fourth Proportional to 2,972.07, 4,466.19 and 1,586.39

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Solution

The fourth proportional to 2,972.07, 4,466.19 and 1,586.39 is: 2,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.07 : 4,466.19 = 1,586.39 : x
  2. Step 2: Convert to fraction form
    2,972.07/4,466.19 = 1,586.39/x
  3. Step 3: Cross multiply
    2,972.07x = 4,466.19 × 1,586.39
  4. Step 4: Simplify right side
    2,972.07x = 7,085,096.82
  5. Step 5: Solve for x
    x = 7,085,096.82/2,972.07
  6. Step 6: Final answer
    x = 2,383.89

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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.