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Finding the Fourth Proportional to 2,329.85, 3,215.16 and 1,735.00

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Solution

The fourth proportional to 2,329.85, 3,215.16 and 1,735.00 is: 2,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.85 : 3,215.16 = 1,735.00 : x
  2. Step 2: Convert to fraction form
    2,329.85/3,215.16 = 1,735.00/x
  3. Step 3: Cross multiply
    2,329.85x = 3,215.16 × 1,735.00
  4. Step 4: Simplify right side
    2,329.85x = 5,578,288.06
  5. Step 5: Solve for x
    x = 5,578,288.06/2,329.85
  6. Step 6: Final answer
    x = 2,394.27

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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.