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Finding the Fourth Proportional to 2,502.14, 3,749.09 and 1,770.40

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Solution

The fourth proportional to 2,502.14, 3,749.09 and 1,770.40 is: 2,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.14 : 3,749.09 = 1,770.40 : x
  2. Step 2: Convert to fraction form
    2,502.14/3,749.09 = 1,770.40/x
  3. Step 3: Cross multiply
    2,502.14x = 3,749.09 × 1,770.40
  4. Step 4: Simplify right side
    2,502.14x = 6,637,383.99
  5. Step 5: Solve for x
    x = 6,637,383.99/2,502.14
  6. Step 6: Final answer
    x = 2,652.69

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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.