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Finding the Fourth Proportional to 1,828.15, 2,738.77 and 902.63

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Solution

The fourth proportional to 1,828.15, 2,738.77 and 902.63 is: 1,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.15 : 2,738.77 = 902.63 : x
  2. Step 2: Convert to fraction form
    1,828.15/2,738.77 = 902.63/x
  3. Step 3: Cross multiply
    1,828.15x = 2,738.77 × 902.63
  4. Step 4: Simplify right side
    1,828.15x = 2,472,080.01
  5. Step 5: Solve for x
    x = 2,472,080.01/1,828.15
  6. Step 6: Final answer
    x = 1,352.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.