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Finding the Fourth Proportional to 4,187.84, 6,281.76 and 1,266.16

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Solution

The fourth proportional to 4,187.84, 6,281.76 and 1,266.16 is: 1,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.84 : 6,281.76 = 1,266.16 : x
  2. Step 2: Convert to fraction form
    4,187.84/6,281.76 = 1,266.16/x
  3. Step 3: Cross multiply
    4,187.84x = 6,281.76 × 1,266.16
  4. Step 4: Simplify right side
    4,187.84x = 7,953,713.24
  5. Step 5: Solve for x
    x = 7,953,713.24/4,187.84
  6. Step 6: Final answer
    x = 1,899.24

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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.