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Finding the Fourth Proportional to 2,671.21, 3,686.41 and 1,492.21

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Solution

The fourth proportional to 2,671.21, 3,686.41 and 1,492.21 is: 2,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.21 : 3,686.41 = 1,492.21 : x
  2. Step 2: Convert to fraction form
    2,671.21/3,686.41 = 1,492.21/x
  3. Step 3: Cross multiply
    2,671.21x = 3,686.41 × 1,492.21
  4. Step 4: Simplify right side
    2,671.21x = 5,500,904.34
  5. Step 5: Solve for x
    x = 5,500,904.34/2,671.21
  6. Step 6: Final answer
    x = 2,059.33

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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.