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Finding the Fourth Proportional to 2,102.68, 2,900.77 and 1,630.72

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Solution

The fourth proportional to 2,102.68, 2,900.77 and 1,630.72 is: 2,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.68 : 2,900.77 = 1,630.72 : x
  2. Step 2: Convert to fraction form
    2,102.68/2,900.77 = 1,630.72/x
  3. Step 3: Cross multiply
    2,102.68x = 2,900.77 × 1,630.72
  4. Step 4: Simplify right side
    2,102.68x = 4,730,343.65
  5. Step 5: Solve for x
    x = 4,730,343.65/2,102.68
  6. Step 6: Final answer
    x = 2,249.67

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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.