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Finding the Fourth Proportional to 2,389.68, 3,297.84 and 1,505.28

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Solution

The fourth proportional to 2,389.68, 3,297.84 and 1,505.28 is: 2,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.68 : 3,297.84 = 1,505.28 : x
  2. Step 2: Convert to fraction form
    2,389.68/3,297.84 = 1,505.28/x
  3. Step 3: Cross multiply
    2,389.68x = 3,297.84 × 1,505.28
  4. Step 4: Simplify right side
    2,389.68x = 4,964,172.60
  5. Step 5: Solve for x
    x = 4,964,172.60/2,389.68
  6. Step 6: Final answer
    x = 2,077.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.