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Finding the Fourth Proportional to 1,755.84, 2,630.28 and 1,341.88

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Solution

The fourth proportional to 1,755.84, 2,630.28 and 1,341.88 is: 2,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.84 : 2,630.28 = 1,341.88 : x
  2. Step 2: Convert to fraction form
    1,755.84/2,630.28 = 1,341.88/x
  3. Step 3: Cross multiply
    1,755.84x = 2,630.28 × 1,341.88
  4. Step 4: Simplify right side
    1,755.84x = 3,529,520.13
  5. Step 5: Solve for x
    x = 3,529,520.13/1,755.84
  6. Step 6: Final answer
    x = 2,010.16

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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.