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Finding the Fourth Proportional to 1,595.72, 2,399.52 and 1,537.40

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Solution

The fourth proportional to 1,595.72, 2,399.52 and 1,537.40 is: 2,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.72 : 2,399.52 = 1,537.40 : x
  2. Step 2: Convert to fraction form
    1,595.72/2,399.52 = 1,537.40/x
  3. Step 3: Cross multiply
    1,595.72x = 2,399.52 × 1,537.40
  4. Step 4: Simplify right side
    1,595.72x = 3,689,022.05
  5. Step 5: Solve for x
    x = 3,689,022.05/1,595.72
  6. Step 6: Final answer
    x = 2,311.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.