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Finding the Fourth Proportional to 2,413, 3,619.50 and 589

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Solution

The fourth proportional to 2,413, 3,619.50 and 589 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413 : 3,619.50 = 589 : x
  2. Step 2: Convert to fraction form
    2,413/3,619.50 = 589/x
  3. Step 3: Cross multiply
    2,413x = 3,619.50 × 589
  4. Step 4: Simplify right side
    2,413x = 2,131,885.50
  5. Step 5: Solve for x
    x = 2,131,885.50/2,413
  6. Step 6: Final answer
    x = 883.50

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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.