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Finding the Fourth Proportional to 1,622.80, 2,433.72 and 852.88

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Solution

The fourth proportional to 1,622.80, 2,433.72 and 852.88 is: 1,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.80 : 2,433.72 = 852.88 : x
  2. Step 2: Convert to fraction form
    1,622.80/2,433.72 = 852.88/x
  3. Step 3: Cross multiply
    1,622.80x = 2,433.72 × 852.88
  4. Step 4: Simplify right side
    1,622.80x = 2,075,671.11
  5. Step 5: Solve for x
    x = 2,075,671.11/1,622.80
  6. Step 6: Final answer
    x = 1,279.07

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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.