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Finding the Fourth Proportional to 4,186.42, 6,280.72 and 1,264.80

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Solution

The fourth proportional to 4,186.42, 6,280.72 and 1,264.80 is: 1,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.42 : 6,280.72 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    4,186.42/6,280.72 = 1,264.80/x
  3. Step 3: Cross multiply
    4,186.42x = 6,280.72 × 1,264.80
  4. Step 4: Simplify right side
    4,186.42x = 7,943,854.66
  5. Step 5: Solve for x
    x = 7,943,854.66/4,186.42
  6. Step 6: Final answer
    x = 1,897.53

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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.