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Finding the Fourth Proportional to 1,771.70, 2,656.72 and 675.36

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Solution

The fourth proportional to 1,771.70, 2,656.72 and 675.36 is: 1,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.70 : 2,656.72 = 675.36 : x
  2. Step 2: Convert to fraction form
    1,771.70/2,656.72 = 675.36/x
  3. Step 3: Cross multiply
    1,771.70x = 2,656.72 × 675.36
  4. Step 4: Simplify right side
    1,771.70x = 1,794,242.42
  5. Step 5: Solve for x
    x = 1,794,242.42/1,771.70
  6. Step 6: Final answer
    x = 1,012.72

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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.