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Finding the Fourth Proportional to 1,770.08, 2,654.32 and 1,039.88

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Solution

The fourth proportional to 1,770.08, 2,654.32 and 1,039.88 is: 1,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.08 : 2,654.32 = 1,039.88 : x
  2. Step 2: Convert to fraction form
    1,770.08/2,654.32 = 1,039.88/x
  3. Step 3: Cross multiply
    1,770.08x = 2,654.32 × 1,039.88
  4. Step 4: Simplify right side
    1,770.08x = 2,760,174.28
  5. Step 5: Solve for x
    x = 2,760,174.28/1,770.08
  6. Step 6: Final answer
    x = 1,559.35

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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.