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Finding the Fourth Proportional to 1,538.56, 2,123.16 and 950.08

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Solution

The fourth proportional to 1,538.56, 2,123.16 and 950.08 is: 1,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.56 : 2,123.16 = 950.08 : x
  2. Step 2: Convert to fraction form
    1,538.56/2,123.16 = 950.08/x
  3. Step 3: Cross multiply
    1,538.56x = 2,123.16 × 950.08
  4. Step 4: Simplify right side
    1,538.56x = 2,017,171.85
  5. Step 5: Solve for x
    x = 2,017,171.85/1,538.56
  6. Step 6: Final answer
    x = 1,311.08

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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.