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Finding the Fourth Proportional to 1,889, 2,606.20 and 1,143.20

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Solution

The fourth proportional to 1,889, 2,606.20 and 1,143.20 is: 1,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889 : 2,606.20 = 1,143.20 : x
  2. Step 2: Convert to fraction form
    1,889/2,606.20 = 1,143.20/x
  3. Step 3: Cross multiply
    1,889x = 2,606.20 × 1,143.20
  4. Step 4: Simplify right side
    1,889x = 2,979,407.84
  5. Step 5: Solve for x
    x = 2,979,407.84/1,889
  6. Step 6: Final answer
    x = 1,577.24

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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.