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Finding the Fourth Proportional to 2,146.72, 2,983.48 and 2,123.68

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Solution

The fourth proportional to 2,146.72, 2,983.48 and 2,123.68 is: 2,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.72 : 2,983.48 = 2,123.68 : x
  2. Step 2: Convert to fraction form
    2,146.72/2,983.48 = 2,123.68/x
  3. Step 3: Cross multiply
    2,146.72x = 2,983.48 × 2,123.68
  4. Step 4: Simplify right side
    2,146.72x = 6,335,956.81
  5. Step 5: Solve for x
    x = 6,335,956.81/2,146.72
  6. Step 6: Final answer
    x = 2,951.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.