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Finding the Fourth Proportional to 2,050.32, 3,075.05 and 589.14

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Solution

The fourth proportional to 2,050.32, 3,075.05 and 589.14 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.32 : 3,075.05 = 589.14 : x
  2. Step 2: Convert to fraction form
    2,050.32/3,075.05 = 589.14/x
  3. Step 3: Cross multiply
    2,050.32x = 3,075.05 × 589.14
  4. Step 4: Simplify right side
    2,050.32x = 1,811,632.01
  5. Step 5: Solve for x
    x = 1,811,632.01/2,050.32
  6. Step 6: Final answer
    x = 883.59

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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.