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Finding the Fourth Proportional to 2,059.61, 3,089.41 and 499.60

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Solution

The fourth proportional to 2,059.61, 3,089.41 and 499.60 is: 749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.61 : 3,089.41 = 499.60 : x
  2. Step 2: Convert to fraction form
    2,059.61/3,089.41 = 499.60/x
  3. Step 3: Cross multiply
    2,059.61x = 3,089.41 × 499.60
  4. Step 4: Simplify right side
    2,059.61x = 1,543,474.66
  5. Step 5: Solve for x
    x = 1,543,474.66/2,059.61
  6. Step 6: Final answer
    x = 749.40

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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.