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Finding the Fourth Proportional to 4,185.84, 6,280.20 and 1,264.08

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Solution

The fourth proportional to 4,185.84, 6,280.20 and 1,264.08 is: 1,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.84 : 6,280.20 = 1,264.08 : x
  2. Step 2: Convert to fraction form
    4,185.84/6,280.20 = 1,264.08/x
  3. Step 3: Cross multiply
    4,185.84x = 6,280.20 × 1,264.08
  4. Step 4: Simplify right side
    4,185.84x = 7,938,675.22
  5. Step 5: Solve for x
    x = 7,938,675.22/4,185.84
  6. Step 6: Final answer
    x = 1,896.55

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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.