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Finding the Fourth Proportional to 3,151.98, 4,721.59 and 1,589.81

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Solution

The fourth proportional to 3,151.98, 4,721.59 and 1,589.81 is: 2,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.98 : 4,721.59 = 1,589.81 : x
  2. Step 2: Convert to fraction form
    3,151.98/4,721.59 = 1,589.81/x
  3. Step 3: Cross multiply
    3,151.98x = 4,721.59 × 1,589.81
  4. Step 4: Simplify right side
    3,151.98x = 7,506,409.38
  5. Step 5: Solve for x
    x = 7,506,409.38/3,151.98
  6. Step 6: Final answer
    x = 2,381.49

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Why These Related Problems?

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