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Finding the Fourth Proportional to 1,433.10, 1,980.24 and 1,119.12

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Solution

The fourth proportional to 1,433.10, 1,980.24 and 1,119.12 is: 1,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.10 : 1,980.24 = 1,119.12 : x
  2. Step 2: Convert to fraction form
    1,433.10/1,980.24 = 1,119.12/x
  3. Step 3: Cross multiply
    1,433.10x = 1,980.24 × 1,119.12
  4. Step 4: Simplify right side
    1,433.10x = 2,216,126.19
  5. Step 5: Solve for x
    x = 2,216,126.19/1,433.10
  6. Step 6: Final answer
    x = 1,546.39

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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.