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Finding the Fourth Proportional to 1,558.49, 2,150.55 and 895.55

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Solution

The fourth proportional to 1,558.49, 2,150.55 and 895.55 is: 1,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.49 : 2,150.55 = 895.55 : x
  2. Step 2: Convert to fraction form
    1,558.49/2,150.55 = 895.55/x
  3. Step 3: Cross multiply
    1,558.49x = 2,150.55 × 895.55
  4. Step 4: Simplify right side
    1,558.49x = 1,925,914.30
  5. Step 5: Solve for x
    x = 1,925,914.30/1,558.49
  6. Step 6: Final answer
    x = 1,235.76

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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.