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Finding the Fourth Proportional to 2,050.08, 3,075.14 and 589.28

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Solution

The fourth proportional to 2,050.08, 3,075.14 and 589.28 is: 883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.08 : 3,075.14 = 589.28 : x
  2. Step 2: Convert to fraction form
    2,050.08/3,075.14 = 589.28/x
  3. Step 3: Cross multiply
    2,050.08x = 3,075.14 × 589.28
  4. Step 4: Simplify right side
    2,050.08x = 1,812,118.50
  5. Step 5: Solve for x
    x = 1,812,118.50/2,050.08
  6. Step 6: Final answer
    x = 883.93

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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.