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Finding the Fourth Proportional to 3,059.53, 4,585.79 and 1,744.00

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Solution

The fourth proportional to 3,059.53, 4,585.79 and 1,744.00 is: 2,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.53 : 4,585.79 = 1,744.00 : x
  2. Step 2: Convert to fraction form
    3,059.53/4,585.79 = 1,744.00/x
  3. Step 3: Cross multiply
    3,059.53x = 4,585.79 × 1,744.00
  4. Step 4: Simplify right side
    3,059.53x = 7,997,610.66
  5. Step 5: Solve for x
    x = 7,997,610.66/3,059.53
  6. Step 6: Final answer
    x = 2,614.00

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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.