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Finding the Fourth Proportional to 1,828.80, 2,508.48 and 1,828.80

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Solution

The fourth proportional to 1,828.80, 2,508.48 and 1,828.80 is: 2,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.80 : 2,508.48 = 1,828.80 : x
  2. Step 2: Convert to fraction form
    1,828.80/2,508.48 = 1,828.80/x
  3. Step 3: Cross multiply
    1,828.80x = 2,508.48 × 1,828.80
  4. Step 4: Simplify right side
    1,828.80x = 4,587,508.22
  5. Step 5: Solve for x
    x = 4,587,508.22/1,828.80
  6. Step 6: Final answer
    x = 2,508.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.