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Finding the Fourth Proportional to 1,315.26, 1,973.90 and 982.54

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Solution

The fourth proportional to 1,315.26, 1,973.90 and 982.54 is: 1,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.26 : 1,973.90 = 982.54 : x
  2. Step 2: Convert to fraction form
    1,315.26/1,973.90 = 982.54/x
  3. Step 3: Cross multiply
    1,315.26x = 1,973.90 × 982.54
  4. Step 4: Simplify right side
    1,315.26x = 1,939,435.71
  5. Step 5: Solve for x
    x = 1,939,435.71/1,315.26
  6. Step 6: Final answer
    x = 1,474.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.