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Finding the Fourth Proportional to 2,050.31, 3,075.47 and 589.46

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Solution

The fourth proportional to 2,050.31, 3,075.47 and 589.46 is: 884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.31 : 3,075.47 = 589.46 : x
  2. Step 2: Convert to fraction form
    2,050.31/3,075.47 = 589.46/x
  3. Step 3: Cross multiply
    2,050.31x = 3,075.47 × 589.46
  4. Step 4: Simplify right side
    2,050.31x = 1,812,880.71
  5. Step 5: Solve for x
    x = 1,812,880.71/2,050.31
  6. Step 6: Final answer
    x = 884.20

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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.