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Finding the Fourth Proportional to 2,740.75, 3,782.24 and 1,498.75

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Solution

The fourth proportional to 2,740.75, 3,782.24 and 1,498.75 is: 2,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.75 : 3,782.24 = 1,498.75 : x
  2. Step 2: Convert to fraction form
    2,740.75/3,782.24 = 1,498.75/x
  3. Step 3: Cross multiply
    2,740.75x = 3,782.24 × 1,498.75
  4. Step 4: Simplify right side
    2,740.75x = 5,668,632.20
  5. Step 5: Solve for x
    x = 5,668,632.20/2,740.75
  6. Step 6: Final answer
    x = 2,068.28

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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.