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Finding the Fourth Proportional to 1,820.12, 2,512.07 and 1,074.26

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Solution

The fourth proportional to 1,820.12, 2,512.07 and 1,074.26 is: 1,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.12 : 2,512.07 = 1,074.26 : x
  2. Step 2: Convert to fraction form
    1,820.12/2,512.07 = 1,074.26/x
  3. Step 3: Cross multiply
    1,820.12x = 2,512.07 × 1,074.26
  4. Step 4: Simplify right side
    1,820.12x = 2,698,610.95
  5. Step 5: Solve for x
    x = 2,698,610.95/1,820.12
  6. Step 6: Final answer
    x = 1,482.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.