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Finding the Fourth Proportional to 1,821.44, 2,512.90 and 1,074.92

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Solution

The fourth proportional to 1,821.44, 2,512.90 and 1,074.92 is: 1,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.44 : 2,512.90 = 1,074.92 : x
  2. Step 2: Convert to fraction form
    1,821.44/2,512.90 = 1,074.92/x
  3. Step 3: Cross multiply
    1,821.44x = 2,512.90 × 1,074.92
  4. Step 4: Simplify right side
    1,821.44x = 2,701,166.47
  5. Step 5: Solve for x
    x = 2,701,166.47/1,821.44
  6. Step 6: Final answer
    x = 1,482.98

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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.