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Finding the Fourth Proportional to 1,589.06, 2,381.89 and 601.41

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Solution

The fourth proportional to 1,589.06, 2,381.89 and 601.41 is: 901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.06 : 2,381.89 = 601.41 : x
  2. Step 2: Convert to fraction form
    1,589.06/2,381.89 = 601.41/x
  3. Step 3: Cross multiply
    1,589.06x = 2,381.89 × 601.41
  4. Step 4: Simplify right side
    1,589.06x = 1,432,492.46
  5. Step 5: Solve for x
    x = 1,432,492.46/1,589.06
  6. Step 6: Final answer
    x = 901.47

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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.