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Finding the Fourth Proportional to 2,954.47, 4,070.23 and 2,056.67

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Solution

The fourth proportional to 2,954.47, 4,070.23 and 2,056.67 is: 2,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.47 : 4,070.23 = 2,056.67 : x
  2. Step 2: Convert to fraction form
    2,954.47/4,070.23 = 2,056.67/x
  3. Step 3: Cross multiply
    2,954.47x = 4,070.23 × 2,056.67
  4. Step 4: Simplify right side
    2,954.47x = 8,371,119.93
  5. Step 5: Solve for x
    x = 8,371,119.93/2,954.47
  6. Step 6: Final answer
    x = 2,833.37

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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.