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Finding the Fourth Proportional to 2,309.70, 3,186.81 and 1,365.45

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Solution

The fourth proportional to 2,309.70, 3,186.81 and 1,365.45 is: 1,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.70 : 3,186.81 = 1,365.45 : x
  2. Step 2: Convert to fraction form
    2,309.70/3,186.81 = 1,365.45/x
  3. Step 3: Cross multiply
    2,309.70x = 3,186.81 × 1,365.45
  4. Step 4: Simplify right side
    2,309.70x = 4,351,429.71
  5. Step 5: Solve for x
    x = 4,351,429.71/2,309.70
  6. Step 6: Final answer
    x = 1,883.98

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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.