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Finding the Fourth Proportional to 2,683.04, 4,024.56 and 1,384.88

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Solution

The fourth proportional to 2,683.04, 4,024.56 and 1,384.88 is: 2,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.04 : 4,024.56 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    2,683.04/4,024.56 = 1,384.88/x
  3. Step 3: Cross multiply
    2,683.04x = 4,024.56 × 1,384.88
  4. Step 4: Simplify right side
    2,683.04x = 5,573,532.65
  5. Step 5: Solve for x
    x = 5,573,532.65/2,683.04
  6. Step 6: Final answer
    x = 2,077.32

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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.