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Finding the Fourth Proportional to 1,704.45, 2,354.41 and 1,264.62

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Solution

The fourth proportional to 1,704.45, 2,354.41 and 1,264.62 is: 1,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.45 : 2,354.41 = 1,264.62 : x
  2. Step 2: Convert to fraction form
    1,704.45/2,354.41 = 1,264.62/x
  3. Step 3: Cross multiply
    1,704.45x = 2,354.41 × 1,264.62
  4. Step 4: Simplify right side
    1,704.45x = 2,977,433.97
  5. Step 5: Solve for x
    x = 2,977,433.97/1,704.45
  6. Step 6: Final answer
    x = 1,746.86

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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.