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Finding the Fourth Proportional to 2,369.34, 3,270 and 1,437.84

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Solution

The fourth proportional to 2,369.34, 3,270 and 1,437.84 is: 1,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.34 : 3,270 = 1,437.84 : x
  2. Step 2: Convert to fraction form
    2,369.34/3,270 = 1,437.84/x
  3. Step 3: Cross multiply
    2,369.34x = 3,270 × 1,437.84
  4. Step 4: Simplify right side
    2,369.34x = 4,701,736.80
  5. Step 5: Solve for x
    x = 4,701,736.80/2,369.34
  6. Step 6: Final answer
    x = 1,984.41

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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.