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Finding the Fourth Proportional to 2,050.03, 3,074.50 and 589.24

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Solution

The fourth proportional to 2,050.03, 3,074.50 and 589.24 is: 883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.03 : 3,074.50 = 589.24 : x
  2. Step 2: Convert to fraction form
    2,050.03/3,074.50 = 589.24/x
  3. Step 3: Cross multiply
    2,050.03x = 3,074.50 × 589.24
  4. Step 4: Simplify right side
    2,050.03x = 1,811,618.38
  5. Step 5: Solve for x
    x = 1,811,618.38/2,050.03
  6. Step 6: Final answer
    x = 883.70

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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.