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Finding the Fourth Proportional to 2,359.56, 3,255.96 and 1,415.28

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Solution

The fourth proportional to 2,359.56, 3,255.96 and 1,415.28 is: 1,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.56 : 3,255.96 = 1,415.28 : x
  2. Step 2: Convert to fraction form
    2,359.56/3,255.96 = 1,415.28/x
  3. Step 3: Cross multiply
    2,359.56x = 3,255.96 × 1,415.28
  4. Step 4: Simplify right side
    2,359.56x = 4,608,095.07
  5. Step 5: Solve for x
    x = 4,608,095.07/2,359.56
  6. Step 6: Final answer
    x = 1,952.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.