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Finding the Fourth Proportional to 1,558.77, 2,151.26 and 895.65

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Solution

The fourth proportional to 1,558.77, 2,151.26 and 895.65 is: 1,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.77 : 2,151.26 = 895.65 : x
  2. Step 2: Convert to fraction form
    1,558.77/2,151.26 = 895.65/x
  3. Step 3: Cross multiply
    1,558.77x = 2,151.26 × 895.65
  4. Step 4: Simplify right side
    1,558.77x = 1,926,776.02
  5. Step 5: Solve for x
    x = 1,926,776.02/1,558.77
  6. Step 6: Final answer
    x = 1,236.09

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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.