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Finding the Fourth Proportional to 1,820.72, 2,512.78 and 1,074.92

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Solution

The fourth proportional to 1,820.72, 2,512.78 and 1,074.92 is: 1,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.72 : 2,512.78 = 1,074.92 : x
  2. Step 2: Convert to fraction form
    1,820.72/2,512.78 = 1,074.92/x
  3. Step 3: Cross multiply
    1,820.72x = 2,512.78 × 1,074.92
  4. Step 4: Simplify right side
    1,820.72x = 2,701,037.48
  5. Step 5: Solve for x
    x = 2,701,037.48/1,820.72
  6. Step 6: Final answer
    x = 1,483.50

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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.