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Finding the Fourth Proportional to 1,766.81, 2,648.70 and 670.41

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Solution

The fourth proportional to 1,766.81, 2,648.70 and 670.41 is: 1,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.81 : 2,648.70 = 670.41 : x
  2. Step 2: Convert to fraction form
    1,766.81/2,648.70 = 670.41/x
  3. Step 3: Cross multiply
    1,766.81x = 2,648.70 × 670.41
  4. Step 4: Simplify right side
    1,766.81x = 1,775,714.97
  5. Step 5: Solve for x
    x = 1,775,714.97/1,766.81
  6. Step 6: Final answer
    x = 1,005.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.