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Finding the Fourth Proportional to 2,347.84, 3,237.06 and 1,759.24

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Solution

The fourth proportional to 2,347.84, 3,237.06 and 1,759.24 is: 2,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.84 : 3,237.06 = 1,759.24 : x
  2. Step 2: Convert to fraction form
    2,347.84/3,237.06 = 1,759.24/x
  3. Step 3: Cross multiply
    2,347.84x = 3,237.06 × 1,759.24
  4. Step 4: Simplify right side
    2,347.84x = 5,694,765.43
  5. Step 5: Solve for x
    x = 5,694,765.43/2,347.84
  6. Step 6: Final answer
    x = 2,425.53

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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.