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Finding the Fourth Proportional to 1,689.47, 2,334.44 and 1,299.86

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Solution

The fourth proportional to 1,689.47, 2,334.44 and 1,299.86 is: 1,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.47 : 2,334.44 = 1,299.86 : x
  2. Step 2: Convert to fraction form
    1,689.47/2,334.44 = 1,299.86/x
  3. Step 3: Cross multiply
    1,689.47x = 2,334.44 × 1,299.86
  4. Step 4: Simplify right side
    1,689.47x = 3,034,436.76
  5. Step 5: Solve for x
    x = 3,034,436.76/1,689.47
  6. Step 6: Final answer
    x = 1,796.09

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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.