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Finding the Fourth Proportional to 2,369, 3,269.15 and 1,374.21

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Solution

The fourth proportional to 2,369, 3,269.15 and 1,374.21 is: 1,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369 : 3,269.15 = 1,374.21 : x
  2. Step 2: Convert to fraction form
    2,369/3,269.15 = 1,374.21/x
  3. Step 3: Cross multiply
    2,369x = 3,269.15 × 1,374.21
  4. Step 4: Simplify right side
    2,369x = 4,492,498.62
  5. Step 5: Solve for x
    x = 4,492,498.62/2,369
  6. Step 6: Final answer
    x = 1,896.37

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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.