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Finding the Fourth Proportional to 2,128.67, 3,191.52 and 895.07

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Solution

The fourth proportional to 2,128.67, 3,191.52 and 895.07 is: 1,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.67 : 3,191.52 = 895.07 : x
  2. Step 2: Convert to fraction form
    2,128.67/3,191.52 = 895.07/x
  3. Step 3: Cross multiply
    2,128.67x = 3,191.52 × 895.07
  4. Step 4: Simplify right side
    2,128.67x = 2,856,641.79
  5. Step 5: Solve for x
    x = 2,856,641.79/2,128.67
  6. Step 6: Final answer
    x = 1,341.99

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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.