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Finding the Fourth Proportional to 3,019.55, 4,529.10 and 1,264.10

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Solution

The fourth proportional to 3,019.55, 4,529.10 and 1,264.10 is: 1,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.55 : 4,529.10 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    3,019.55/4,529.10 = 1,264.10/x
  3. Step 3: Cross multiply
    3,019.55x = 4,529.10 × 1,264.10
  4. Step 4: Simplify right side
    3,019.55x = 5,725,235.31
  5. Step 5: Solve for x
    x = 5,725,235.31/3,019.55
  6. Step 6: Final answer
    x = 1,896.06

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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.