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Finding the Fourth Proportional to 2,900.09, 4,342.83 and 2,077.94

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Solution

The fourth proportional to 2,900.09, 4,342.83 and 2,077.94 is: 3,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.09 : 4,342.83 = 2,077.94 : x
  2. Step 2: Convert to fraction form
    2,900.09/4,342.83 = 2,077.94/x
  3. Step 3: Cross multiply
    2,900.09x = 4,342.83 × 2,077.94
  4. Step 4: Simplify right side
    2,900.09x = 9,024,118.46
  5. Step 5: Solve for x
    x = 9,024,118.46/2,900.09
  6. Step 6: Final answer
    x = 3,111.67

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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.