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Finding the Fourth Proportional to 2,050.06, 3,074.99 and 589.20

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Solution

The fourth proportional to 2,050.06, 3,074.99 and 589.20 is: 883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.06 : 3,074.99 = 589.20 : x
  2. Step 2: Convert to fraction form
    2,050.06/3,074.99 = 589.20/x
  3. Step 3: Cross multiply
    2,050.06x = 3,074.99 × 589.20
  4. Step 4: Simplify right side
    2,050.06x = 1,811,784.11
  5. Step 5: Solve for x
    x = 1,811,784.11/2,050.06
  6. Step 6: Final answer
    x = 883.77

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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.