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Finding the Fourth Proportional to 1,885.12, 2,827.70 and 517.12

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Solution

The fourth proportional to 1,885.12, 2,827.70 and 517.12 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.12 : 2,827.70 = 517.12 : x
  2. Step 2: Convert to fraction form
    1,885.12/2,827.70 = 517.12/x
  3. Step 3: Cross multiply
    1,885.12x = 2,827.70 × 517.12
  4. Step 4: Simplify right side
    1,885.12x = 1,462,260.22
  5. Step 5: Solve for x
    x = 1,462,260.22/1,885.12
  6. Step 6: Final answer
    x = 775.69

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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.