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Finding the Fourth Proportional to 2,051.72, 3,077.78 and 956.39

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Solution

The fourth proportional to 2,051.72, 3,077.78 and 956.39 is: 1,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.72 : 3,077.78 = 956.39 : x
  2. Step 2: Convert to fraction form
    2,051.72/3,077.78 = 956.39/x
  3. Step 3: Cross multiply
    2,051.72x = 3,077.78 × 956.39
  4. Step 4: Simplify right side
    2,051.72x = 2,943,537.84
  5. Step 5: Solve for x
    x = 2,943,537.84/2,051.72
  6. Step 6: Final answer
    x = 1,434.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.