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Finding the Fourth Proportional to 2,953.98, 4,432.01 and 1,970.73

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Solution

The fourth proportional to 2,953.98, 4,432.01 and 1,970.73 is: 2,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.98 : 4,432.01 = 1,970.73 : x
  2. Step 2: Convert to fraction form
    2,953.98/4,432.01 = 1,970.73/x
  3. Step 3: Cross multiply
    2,953.98x = 4,432.01 × 1,970.73
  4. Step 4: Simplify right side
    2,953.98x = 8,734,285.21
  5. Step 5: Solve for x
    x = 8,734,285.21/2,953.98
  6. Step 6: Final answer
    x = 2,956.79

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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.