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Finding the Fourth Proportional to 2,404.50, 3,606.75 and 580.50

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Solution

The fourth proportional to 2,404.50, 3,606.75 and 580.50 is: 870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.50 : 3,606.75 = 580.50 : x
  2. Step 2: Convert to fraction form
    2,404.50/3,606.75 = 580.50/x
  3. Step 3: Cross multiply
    2,404.50x = 3,606.75 × 580.50
  4. Step 4: Simplify right side
    2,404.50x = 2,093,718.38
  5. Step 5: Solve for x
    x = 2,093,718.38/2,404.50
  6. Step 6: Final answer
    x = 870.75

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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.