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Finding the Fourth Proportional to 1,366.85, 1,884.80 and 895.16

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Solution

The fourth proportional to 1,366.85, 1,884.80 and 895.16 is: 1,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.85 : 1,884.80 = 895.16 : x
  2. Step 2: Convert to fraction form
    1,366.85/1,884.80 = 895.16/x
  3. Step 3: Cross multiply
    1,366.85x = 1,884.80 × 895.16
  4. Step 4: Simplify right side
    1,366.85x = 1,687,204.52
  5. Step 5: Solve for x
    x = 1,687,204.52/1,366.85
  6. Step 6: Final answer
    x = 1,234.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.