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Finding the Fourth Proportional to 1,454.57, 2,007.81 and 895.98

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Solution

The fourth proportional to 1,454.57, 2,007.81 and 895.98 is: 1,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.57 : 2,007.81 = 895.98 : x
  2. Step 2: Convert to fraction form
    1,454.57/2,007.81 = 895.98/x
  3. Step 3: Cross multiply
    1,454.57x = 2,007.81 × 895.98
  4. Step 4: Simplify right side
    1,454.57x = 1,798,957.60
  5. Step 5: Solve for x
    x = 1,798,957.60/1,454.57
  6. Step 6: Final answer
    x = 1,236.77

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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.