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Finding the Fourth Proportional to 2,050.32, 3,075.46 and 511.32

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Solution

The fourth proportional to 2,050.32, 3,075.46 and 511.32 is: 766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.32 : 3,075.46 = 511.32 : x
  2. Step 2: Convert to fraction form
    2,050.32/3,075.46 = 511.32/x
  3. Step 3: Cross multiply
    2,050.32x = 3,075.46 × 511.32
  4. Step 4: Simplify right side
    2,050.32x = 1,572,544.21
  5. Step 5: Solve for x
    x = 1,572,544.21/2,050.32
  6. Step 6: Final answer
    x = 766.98

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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.