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Finding the Fourth Proportional to 2,146.91, 2,956.10 and 1,676.70

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Solution

The fourth proportional to 2,146.91, 2,956.10 and 1,676.70 is: 2,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.91 : 2,956.10 = 1,676.70 : x
  2. Step 2: Convert to fraction form
    2,146.91/2,956.10 = 1,676.70/x
  3. Step 3: Cross multiply
    2,146.91x = 2,956.10 × 1,676.70
  4. Step 4: Simplify right side
    2,146.91x = 4,956,484.49
  5. Step 5: Solve for x
    x = 4,956,484.49/2,146.91
  6. Step 6: Final answer
    x = 2,308.67

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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.