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Finding the Fourth Proportional to 1,675.23, 2,512.11 and 895.11

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Solution

The fourth proportional to 1,675.23, 2,512.11 and 895.11 is: 1,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.23 : 2,512.11 = 895.11 : x
  2. Step 2: Convert to fraction form
    1,675.23/2,512.11 = 895.11/x
  3. Step 3: Cross multiply
    1,675.23x = 2,512.11 × 895.11
  4. Step 4: Simplify right side
    1,675.23x = 2,248,614.78
  5. Step 5: Solve for x
    x = 2,248,614.78/1,675.23
  6. Step 6: Final answer
    x = 1,342.27

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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.