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Finding the Fourth Proportional to 2,957.46, 4,074.21 and 2,024.34

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Solution

The fourth proportional to 2,957.46, 4,074.21 and 2,024.34 is: 2,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.46 : 4,074.21 = 2,024.34 : x
  2. Step 2: Convert to fraction form
    2,957.46/4,074.21 = 2,024.34/x
  3. Step 3: Cross multiply
    2,957.46x = 4,074.21 × 2,024.34
  4. Step 4: Simplify right side
    2,957.46x = 8,247,586.27
  5. Step 5: Solve for x
    x = 8,247,586.27/2,957.46
  6. Step 6: Final answer
    x = 2,788.74

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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.