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Finding the Fourth Proportional to 1,770.55, 2,651.13 and 1,152.38

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Solution

The fourth proportional to 1,770.55, 2,651.13 and 1,152.38 is: 1,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.55 : 2,651.13 = 1,152.38 : x
  2. Step 2: Convert to fraction form
    1,770.55/2,651.13 = 1,152.38/x
  3. Step 3: Cross multiply
    1,770.55x = 2,651.13 × 1,152.38
  4. Step 4: Simplify right side
    1,770.55x = 3,055,115.82
  5. Step 5: Solve for x
    x = 3,055,115.82/1,770.55
  6. Step 6: Final answer
    x = 1,725.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.