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Finding the Fourth Proportional to 1,755.62, 2,642.94 and 1,602.53

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Solution

The fourth proportional to 1,755.62, 2,642.94 and 1,602.53 is: 2,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.62 : 2,642.94 = 1,602.53 : x
  2. Step 2: Convert to fraction form
    1,755.62/2,642.94 = 1,602.53/x
  3. Step 3: Cross multiply
    1,755.62x = 2,642.94 × 1,602.53
  4. Step 4: Simplify right side
    1,755.62x = 4,235,377.42
  5. Step 5: Solve for x
    x = 4,235,377.42/1,755.62
  6. Step 6: Final answer
    x = 2,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.