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Finding the Fourth Proportional to 1,596.35, 2,392.47 and 1,288.34

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Solution

The fourth proportional to 1,596.35, 2,392.47 and 1,288.34 is: 1,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.35 : 2,392.47 = 1,288.34 : x
  2. Step 2: Convert to fraction form
    1,596.35/2,392.47 = 1,288.34/x
  3. Step 3: Cross multiply
    1,596.35x = 2,392.47 × 1,288.34
  4. Step 4: Simplify right side
    1,596.35x = 3,082,302.84
  5. Step 5: Solve for x
    x = 3,082,302.84/1,596.35
  6. Step 6: Final answer
    x = 1,930.85

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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.