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Finding the Fourth Proportional to 2,347.34, 3,239.43 and 1,352.84

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Solution

The fourth proportional to 2,347.34, 3,239.43 and 1,352.84 is: 1,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.34 : 3,239.43 = 1,352.84 : x
  2. Step 2: Convert to fraction form
    2,347.34/3,239.43 = 1,352.84/x
  3. Step 3: Cross multiply
    2,347.34x = 3,239.43 × 1,352.84
  4. Step 4: Simplify right side
    2,347.34x = 4,382,430.48
  5. Step 5: Solve for x
    x = 4,382,430.48/2,347.34
  6. Step 6: Final answer
    x = 1,866.98

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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.