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Finding the Fourth Proportional to 1,594.76, 2,374.81 and 1,589

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Solution

The fourth proportional to 1,594.76, 2,374.81 and 1,589 is: 2,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.76 : 2,374.81 = 1,589 : x
  2. Step 2: Convert to fraction form
    1,594.76/2,374.81 = 1,589/x
  3. Step 3: Cross multiply
    1,594.76x = 2,374.81 × 1,589
  4. Step 4: Simplify right side
    1,594.76x = 3,773,573.09
  5. Step 5: Solve for x
    x = 3,773,573.09/1,594.76
  6. Step 6: Final answer
    x = 2,366.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.