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Finding the Fourth Proportional to 1,746.21, 2,618.78 and 635.48

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Solution

The fourth proportional to 1,746.21, 2,618.78 and 635.48 is: 953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.21 : 2,618.78 = 635.48 : x
  2. Step 2: Convert to fraction form
    1,746.21/2,618.78 = 635.48/x
  3. Step 3: Cross multiply
    1,746.21x = 2,618.78 × 635.48
  4. Step 4: Simplify right side
    1,746.21x = 1,664,182.31
  5. Step 5: Solve for x
    x = 1,664,182.31/1,746.21
  6. Step 6: Final answer
    x = 953.03

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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.