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Finding the Fourth Proportional to 1,759.82, 2,428.46 and 973.82

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Solution

The fourth proportional to 1,759.82, 2,428.46 and 973.82 is: 1,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.82 : 2,428.46 = 973.82 : x
  2. Step 2: Convert to fraction form
    1,759.82/2,428.46 = 973.82/x
  3. Step 3: Cross multiply
    1,759.82x = 2,428.46 × 973.82
  4. Step 4: Simplify right side
    1,759.82x = 2,364,882.92
  5. Step 5: Solve for x
    x = 2,364,882.92/1,759.82
  6. Step 6: Final answer
    x = 1,343.82

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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.