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Finding the Fourth Proportional to 2,589.96, 3,574.11 and 1,411.03

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Solution

The fourth proportional to 2,589.96, 3,574.11 and 1,411.03 is: 1,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.96 : 3,574.11 = 1,411.03 : x
  2. Step 2: Convert to fraction form
    2,589.96/3,574.11 = 1,411.03/x
  3. Step 3: Cross multiply
    2,589.96x = 3,574.11 × 1,411.03
  4. Step 4: Simplify right side
    2,589.96x = 5,043,162.21
  5. Step 5: Solve for x
    x = 5,043,162.21/2,589.96
  6. Step 6: Final answer
    x = 1,947.20

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1.5x scale

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.