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Finding the Fourth Proportional to 2,068.26, 2,854 and 1,676.22

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Solution

The fourth proportional to 2,068.26, 2,854 and 1,676.22 is: 2,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.26 : 2,854 = 1,676.22 : x
  2. Step 2: Convert to fraction form
    2,068.26/2,854 = 1,676.22/x
  3. Step 3: Cross multiply
    2,068.26x = 2,854 × 1,676.22
  4. Step 4: Simplify right side
    2,068.26x = 4,783,931.88
  5. Step 5: Solve for x
    x = 4,783,931.88/2,068.26
  6. Step 6: Final answer
    x = 2,313.02

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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.