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Finding the Fourth Proportional to 1,820.32, 2,512.99 and 1,225.94

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Solution

The fourth proportional to 1,820.32, 2,512.99 and 1,225.94 is: 1,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.32 : 2,512.99 = 1,225.94 : x
  2. Step 2: Convert to fraction form
    1,820.32/2,512.99 = 1,225.94/x
  3. Step 3: Cross multiply
    1,820.32x = 2,512.99 × 1,225.94
  4. Step 4: Simplify right side
    1,820.32x = 3,080,762.40
  5. Step 5: Solve for x
    x = 3,080,762.40/1,820.32
  6. Step 6: Final answer
    x = 1,692.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.