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Finding the Fourth Proportional to 1,771.05, 2,666.87 and 1,312.09

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Solution

The fourth proportional to 1,771.05, 2,666.87 and 1,312.09 is: 1,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.05 : 2,666.87 = 1,312.09 : x
  2. Step 2: Convert to fraction form
    1,771.05/2,666.87 = 1,312.09/x
  3. Step 3: Cross multiply
    1,771.05x = 2,666.87 × 1,312.09
  4. Step 4: Simplify right side
    1,771.05x = 3,499,165.15
  5. Step 5: Solve for x
    x = 3,499,165.15/1,771.05
  6. Step 6: Final answer
    x = 1,975.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.