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Finding the Fourth Proportional to 2,659.77, 3,671.30 and 1,820.14

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Solution

The fourth proportional to 2,659.77, 3,671.30 and 1,820.14 is: 2,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.77 : 3,671.30 = 1,820.14 : x
  2. Step 2: Convert to fraction form
    2,659.77/3,671.30 = 1,820.14/x
  3. Step 3: Cross multiply
    2,659.77x = 3,671.30 × 1,820.14
  4. Step 4: Simplify right side
    2,659.77x = 6,682,275.35
  5. Step 5: Solve for x
    x = 6,682,275.35/2,659.77
  6. Step 6: Final answer
    x = 2,512.35

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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.