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Finding the Fourth Proportional to 2,752.94, 3,800.32 and 1,759.34

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Solution

The fourth proportional to 2,752.94, 3,800.32 and 1,759.34 is: 2,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.94 : 3,800.32 = 1,759.34 : x
  2. Step 2: Convert to fraction form
    2,752.94/3,800.32 = 1,759.34/x
  3. Step 3: Cross multiply
    2,752.94x = 3,800.32 × 1,759.34
  4. Step 4: Simplify right side
    2,752.94x = 6,686,054.99
  5. Step 5: Solve for x
    x = 6,686,054.99/2,752.94
  6. Step 6: Final answer
    x = 2,428.70

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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.