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Finding the Fourth Proportional to 1,582.25, 2,373.41 and 657.54

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Solution

The fourth proportional to 1,582.25, 2,373.41 and 657.54 is: 986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.25 : 2,373.41 = 657.54 : x
  2. Step 2: Convert to fraction form
    1,582.25/2,373.41 = 657.54/x
  3. Step 3: Cross multiply
    1,582.25x = 2,373.41 × 657.54
  4. Step 4: Simplify right side
    1,582.25x = 1,560,614.66
  5. Step 5: Solve for x
    x = 1,560,614.66/1,582.25
  6. Step 6: Final answer
    x = 986.33

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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.