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Finding the Fourth Proportional to 1,824.90, 2,738.25 and 730.19

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Solution

The fourth proportional to 1,824.90, 2,738.25 and 730.19 is: 1,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.90 : 2,738.25 = 730.19 : x
  2. Step 2: Convert to fraction form
    1,824.90/2,738.25 = 730.19/x
  3. Step 3: Cross multiply
    1,824.90x = 2,738.25 × 730.19
  4. Step 4: Simplify right side
    1,824.90x = 1,999,429.08
  5. Step 5: Solve for x
    x = 1,999,429.08/1,824.90
  6. Step 6: Final answer
    x = 1,095.64

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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.