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Finding the Fourth Proportional to 1,759.43, 2,428.07 and 973.46

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Solution

The fourth proportional to 1,759.43, 2,428.07 and 973.46 is: 1,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.43 : 2,428.07 = 973.46 : x
  2. Step 2: Convert to fraction form
    1,759.43/2,428.07 = 973.46/x
  3. Step 3: Cross multiply
    1,759.43x = 2,428.07 × 973.46
  4. Step 4: Simplify right side
    1,759.43x = 2,363,629.02
  5. Step 5: Solve for x
    x = 2,363,629.02/1,759.43
  6. Step 6: Final answer
    x = 1,343.41

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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.