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Finding the Fourth Proportional to 1,589.91, 2,394.20 and 1,386.90

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Solution

The fourth proportional to 1,589.91, 2,394.20 and 1,386.90 is: 2,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.91 : 2,394.20 = 1,386.90 : x
  2. Step 2: Convert to fraction form
    1,589.91/2,394.20 = 1,386.90/x
  3. Step 3: Cross multiply
    1,589.91x = 2,394.20 × 1,386.90
  4. Step 4: Simplify right side
    1,589.91x = 3,320,509.05
  5. Step 5: Solve for x
    x = 3,320,509.05/1,589.91
  6. Step 6: Final answer
    x = 2,088.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.