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Finding the Fourth Proportional to 1,756.89, 2,429.06 and 1,679.40

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Solution

The fourth proportional to 1,756.89, 2,429.06 and 1,679.40 is: 2,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.89 : 2,429.06 = 1,679.40 : x
  2. Step 2: Convert to fraction form
    1,756.89/2,429.06 = 1,679.40/x
  3. Step 3: Cross multiply
    1,756.89x = 2,429.06 × 1,679.40
  4. Step 4: Simplify right side
    1,756.89x = 4,079,354.97
  5. Step 5: Solve for x
    x = 4,079,354.97/1,756.89
  6. Step 6: Final answer
    x = 2,321.92

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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.