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Finding the Fourth Proportional to 1,770.72, 2,651.10 and 1,152.86

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Solution

The fourth proportional to 1,770.72, 2,651.10 and 1,152.86 is: 1,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.72 : 2,651.10 = 1,152.86 : x
  2. Step 2: Convert to fraction form
    1,770.72/2,651.10 = 1,152.86/x
  3. Step 3: Cross multiply
    1,770.72x = 2,651.10 × 1,152.86
  4. Step 4: Simplify right side
    1,770.72x = 3,056,347.15
  5. Step 5: Solve for x
    x = 3,056,347.15/1,770.72
  6. Step 6: Final answer
    x = 1,726.05

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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.