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Finding the Fourth Proportional to 1,716.81, 2,362.01 and 1,323.15

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Solution

The fourth proportional to 1,716.81, 2,362.01 and 1,323.15 is: 1,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.81 : 2,362.01 = 1,323.15 : x
  2. Step 2: Convert to fraction form
    1,716.81/2,362.01 = 1,323.15/x
  3. Step 3: Cross multiply
    1,716.81x = 2,362.01 × 1,323.15
  4. Step 4: Simplify right side
    1,716.81x = 3,125,286.92
  5. Step 5: Solve for x
    x = 3,125,286.92/1,716.81
  6. Step 6: Final answer
    x = 1,820.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.