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Finding the Fourth Proportional to 1,559.93, 2,150.01 and 1,411.43

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Solution

The fourth proportional to 1,559.93, 2,150.01 and 1,411.43 is: 1,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.93 : 2,150.01 = 1,411.43 : x
  2. Step 2: Convert to fraction form
    1,559.93/2,150.01 = 1,411.43/x
  3. Step 3: Cross multiply
    1,559.93x = 2,150.01 × 1,411.43
  4. Step 4: Simplify right side
    1,559.93x = 3,034,577.86
  5. Step 5: Solve for x
    x = 3,034,577.86/1,559.93
  6. Step 6: Final answer
    x = 1,945.34

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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.