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Finding the Fourth Proportional to 1,759.76, 2,428.38 and 973.80

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Solution

The fourth proportional to 1,759.76, 2,428.38 and 973.80 is: 1,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.76 : 2,428.38 = 973.80 : x
  2. Step 2: Convert to fraction form
    1,759.76/2,428.38 = 973.80/x
  3. Step 3: Cross multiply
    1,759.76x = 2,428.38 × 973.80
  4. Step 4: Simplify right side
    1,759.76x = 2,364,756.44
  5. Step 5: Solve for x
    x = 2,364,756.44/1,759.76
  6. Step 6: Final answer
    x = 1,343.79

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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.