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Finding the Fourth Proportional to 2,158.45, 3,234.88 and 907.63

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Solution

The fourth proportional to 2,158.45, 3,234.88 and 907.63 is: 1,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.45 : 3,234.88 = 907.63 : x
  2. Step 2: Convert to fraction form
    2,158.45/3,234.88 = 907.63/x
  3. Step 3: Cross multiply
    2,158.45x = 3,234.88 × 907.63
  4. Step 4: Simplify right side
    2,158.45x = 2,936,074.13
  5. Step 5: Solve for x
    x = 2,936,074.13/2,158.45
  6. Step 6: Final answer
    x = 1,360.27

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1.5x scale

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.