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Finding the Fourth Proportional to 1,953.98, 2,932.05 and 800.54

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Solution

The fourth proportional to 1,953.98, 2,932.05 and 800.54 is: 1,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.98 : 2,932.05 = 800.54 : x
  2. Step 2: Convert to fraction form
    1,953.98/2,932.05 = 800.54/x
  3. Step 3: Cross multiply
    1,953.98x = 2,932.05 × 800.54
  4. Step 4: Simplify right side
    1,953.98x = 2,347,223.31
  5. Step 5: Solve for x
    x = 2,347,223.31/1,953.98
  6. Step 6: Final answer
    x = 1,201.25

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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.