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Finding the Fourth Proportional to 1,589.84, 2,380.16 and 929.72

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Solution

The fourth proportional to 1,589.84, 2,380.16 and 929.72 is: 1,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.84 : 2,380.16 = 929.72 : x
  2. Step 2: Convert to fraction form
    1,589.84/2,380.16 = 929.72/x
  3. Step 3: Cross multiply
    1,589.84x = 2,380.16 × 929.72
  4. Step 4: Simplify right side
    1,589.84x = 2,212,882.36
  5. Step 5: Solve for x
    x = 2,212,882.36/1,589.84
  6. Step 6: Final answer
    x = 1,391.89

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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.