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Finding the Fourth Proportional to 3,024.54, 4,527.99 and 2,296.98

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Solution

The fourth proportional to 3,024.54, 4,527.99 and 2,296.98 is: 3,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.54 : 4,527.99 = 2,296.98 : x
  2. Step 2: Convert to fraction form
    3,024.54/4,527.99 = 2,296.98/x
  3. Step 3: Cross multiply
    3,024.54x = 4,527.99 × 2,296.98
  4. Step 4: Simplify right side
    3,024.54x = 10,400,702.47
  5. Step 5: Solve for x
    x = 10,400,702.47/3,024.54
  6. Step 6: Final answer
    x = 3,438.77

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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.