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Finding the Fourth Proportional to 2,352.17, 3,245.97 and 1,290.00

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Solution

The fourth proportional to 2,352.17, 3,245.97 and 1,290.00 is: 1,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.17 : 3,245.97 = 1,290.00 : x
  2. Step 2: Convert to fraction form
    2,352.17/3,245.97 = 1,290.00/x
  3. Step 3: Cross multiply
    2,352.17x = 3,245.97 × 1,290.00
  4. Step 4: Simplify right side
    2,352.17x = 4,187,285.07
  5. Step 5: Solve for x
    x = 4,187,285.07/2,352.17
  6. Step 6: Final answer
    x = 1,780.18

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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.