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Finding the Fourth Proportional to 1,712.53, 2,363.60 and 1,634.62

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Solution

The fourth proportional to 1,712.53, 2,363.60 and 1,634.62 is: 2,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.53 : 2,363.60 = 1,634.62 : x
  2. Step 2: Convert to fraction form
    1,712.53/2,363.60 = 1,634.62/x
  3. Step 3: Cross multiply
    1,712.53x = 2,363.60 × 1,634.62
  4. Step 4: Simplify right side
    1,712.53x = 3,863,573.75
  5. Step 5: Solve for x
    x = 3,863,573.75/1,712.53
  6. Step 6: Final answer
    x = 2,256.07

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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.