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Finding the Fourth Proportional to 2,665.72, 3,680.58 and 1,671.40

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Solution

The fourth proportional to 2,665.72, 3,680.58 and 1,671.40 is: 2,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.72 : 3,680.58 = 1,671.40 : x
  2. Step 2: Convert to fraction form
    2,665.72/3,680.58 = 1,671.40/x
  3. Step 3: Cross multiply
    2,665.72x = 3,680.58 × 1,671.40
  4. Step 4: Simplify right side
    2,665.72x = 6,151,721.41
  5. Step 5: Solve for x
    x = 6,151,721.41/2,665.72
  6. Step 6: Final answer
    x = 2,307.71

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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.