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Finding the Fourth Proportional to 2,988.16, 4,123.04 and 1,809

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Solution

The fourth proportional to 2,988.16, 4,123.04 and 1,809 is: 2,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.16 : 4,123.04 = 1,809 : x
  2. Step 2: Convert to fraction form
    2,988.16/4,123.04 = 1,809/x
  3. Step 3: Cross multiply
    2,988.16x = 4,123.04 × 1,809
  4. Step 4: Simplify right side
    2,988.16x = 7,458,579.36
  5. Step 5: Solve for x
    x = 7,458,579.36/2,988.16
  6. Step 6: Final answer
    x = 2,496.04

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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.