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Finding the Fourth Proportional to 2,134.80, 2,948.12 and 1,763

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Solution

The fourth proportional to 2,134.80, 2,948.12 and 1,763 is: 2,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.80 : 2,948.12 = 1,763 : x
  2. Step 2: Convert to fraction form
    2,134.80/2,948.12 = 1,763/x
  3. Step 3: Cross multiply
    2,134.80x = 2,948.12 × 1,763
  4. Step 4: Simplify right side
    2,134.80x = 5,197,535.56
  5. Step 5: Solve for x
    x = 5,197,535.56/2,134.80
  6. Step 6: Final answer
    x = 2,434.67

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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.