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Finding the Fourth Proportional to 1,866.69, 2,800.43 and 771.05

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Solution

The fourth proportional to 1,866.69, 2,800.43 and 771.05 is: 1,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.69 : 2,800.43 = 771.05 : x
  2. Step 2: Convert to fraction form
    1,866.69/2,800.43 = 771.05/x
  3. Step 3: Cross multiply
    1,866.69x = 2,800.43 × 771.05
  4. Step 4: Simplify right side
    1,866.69x = 2,159,253.69
  5. Step 5: Solve for x
    x = 2,159,253.69/1,866.69
  6. Step 6: Final answer
    x = 1,156.73

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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.