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Finding the Fourth Proportional to 2,671.64, 3,686.85 and 1,492.72

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Solution

The fourth proportional to 2,671.64, 3,686.85 and 1,492.72 is: 2,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.64 : 3,686.85 = 1,492.72 : x
  2. Step 2: Convert to fraction form
    2,671.64/3,686.85 = 1,492.72/x
  3. Step 3: Cross multiply
    2,671.64x = 3,686.85 × 1,492.72
  4. Step 4: Simplify right side
    2,671.64x = 5,503,434.73
  5. Step 5: Solve for x
    x = 5,503,434.73/2,671.64
  6. Step 6: Final answer
    x = 2,059.95

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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.