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Finding the Fourth Proportional to 2,765.91, 3,816.68 and 1,703.51

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Solution

The fourth proportional to 2,765.91, 3,816.68 and 1,703.51 is: 2,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.91 : 3,816.68 = 1,703.51 : x
  2. Step 2: Convert to fraction form
    2,765.91/3,816.68 = 1,703.51/x
  3. Step 3: Cross multiply
    2,765.91x = 3,816.68 × 1,703.51
  4. Step 4: Simplify right side
    2,765.91x = 6,501,752.55
  5. Step 5: Solve for x
    x = 6,501,752.55/2,765.91
  6. Step 6: Final answer
    x = 2,350.67

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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.