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Finding the Fourth Proportional to 1,770.96, 2,445.48 and 1,108.94

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Solution

The fourth proportional to 1,770.96, 2,445.48 and 1,108.94 is: 1,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.96 : 2,445.48 = 1,108.94 : x
  2. Step 2: Convert to fraction form
    1,770.96/2,445.48 = 1,108.94/x
  3. Step 3: Cross multiply
    1,770.96x = 2,445.48 × 1,108.94
  4. Step 4: Simplify right side
    1,770.96x = 2,711,890.59
  5. Step 5: Solve for x
    x = 2,711,890.59/1,770.96
  6. Step 6: Final answer
    x = 1,531.31

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