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Finding the Fourth Proportional to 2,970.78, 4,099.73 and 1,711.62

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Solution

The fourth proportional to 2,970.78, 4,099.73 and 1,711.62 is: 2,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.78 : 4,099.73 = 1,711.62 : x
  2. Step 2: Convert to fraction form
    2,970.78/4,099.73 = 1,711.62/x
  3. Step 3: Cross multiply
    2,970.78x = 4,099.73 × 1,711.62
  4. Step 4: Simplify right side
    2,970.78x = 7,017,167.95
  5. Step 5: Solve for x
    x = 7,017,167.95/2,970.78
  6. Step 6: Final answer
    x = 2,362.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.