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Finding the Fourth Proportional to 2,924.04, 4,384.01 and 1,074.92

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Solution

The fourth proportional to 2,924.04, 4,384.01 and 1,074.92 is: 1,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.04 : 4,384.01 = 1,074.92 : x
  2. Step 2: Convert to fraction form
    2,924.04/4,384.01 = 1,074.92/x
  3. Step 3: Cross multiply
    2,924.04x = 4,384.01 × 1,074.92
  4. Step 4: Simplify right side
    2,924.04x = 4,712,440.80
  5. Step 5: Solve for x
    x = 4,712,440.80/2,924.04
  6. Step 6: Final answer
    x = 1,611.62

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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.