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Finding the Fourth Proportional to 2,347.94, 3,240.26 and 1,300

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Solution

The fourth proportional to 2,347.94, 3,240.26 and 1,300 is: 1,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.94 : 3,240.26 = 1,300 : x
  2. Step 2: Convert to fraction form
    2,347.94/3,240.26 = 1,300/x
  3. Step 3: Cross multiply
    2,347.94x = 3,240.26 × 1,300
  4. Step 4: Simplify right side
    2,347.94x = 4,212,338
  5. Step 5: Solve for x
    x = 4,212,338/2,347.94
  6. Step 6: Final answer
    x = 1,794.06

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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.