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Finding the Fourth Proportional to 2,655.40, 3,965.14 and 2,309.53

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Solution

The fourth proportional to 2,655.40, 3,965.14 and 2,309.53 is: 3,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.40 : 3,965.14 = 2,309.53 : x
  2. Step 2: Convert to fraction form
    2,655.40/3,965.14 = 2,309.53/x
  3. Step 3: Cross multiply
    2,655.40x = 3,965.14 × 2,309.53
  4. Step 4: Simplify right side
    2,655.40x = 9,157,609.78
  5. Step 5: Solve for x
    x = 9,157,609.78/2,655.40
  6. Step 6: Final answer
    x = 3,448.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.