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Finding the Fourth Proportional to 4,186.40, 6,280.24 and 1,412.40

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Solution

The fourth proportional to 4,186.40, 6,280.24 and 1,412.40 is: 2,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.40 : 6,280.24 = 1,412.40 : x
  2. Step 2: Convert to fraction form
    4,186.40/6,280.24 = 1,412.40/x
  3. Step 3: Cross multiply
    4,186.40x = 6,280.24 × 1,412.40
  4. Step 4: Simplify right side
    4,186.40x = 8,870,210.98
  5. Step 5: Solve for x
    x = 8,870,210.98/4,186.40
  6. Step 6: Final answer
    x = 2,118.82

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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.