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Finding the Fourth Proportional to 1,955.36, 2,932.52 and 859.48

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Solution

The fourth proportional to 1,955.36, 2,932.52 and 859.48 is: 1,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.36 : 2,932.52 = 859.48 : x
  2. Step 2: Convert to fraction form
    1,955.36/2,932.52 = 859.48/x
  3. Step 3: Cross multiply
    1,955.36x = 2,932.52 × 859.48
  4. Step 4: Simplify right side
    1,955.36x = 2,520,442.29
  5. Step 5: Solve for x
    x = 2,520,442.29/1,955.36
  6. Step 6: Final answer
    x = 1,288.99

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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.