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Finding the Fourth Proportional to 2,007.85, 2,770.72 and 1,261.57

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Solution

The fourth proportional to 2,007.85, 2,770.72 and 1,261.57 is: 1,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.85 : 2,770.72 = 1,261.57 : x
  2. Step 2: Convert to fraction form
    2,007.85/2,770.72 = 1,261.57/x
  3. Step 3: Cross multiply
    2,007.85x = 2,770.72 × 1,261.57
  4. Step 4: Simplify right side
    2,007.85x = 3,495,457.23
  5. Step 5: Solve for x
    x = 3,495,457.23/2,007.85
  6. Step 6: Final answer
    x = 1,740.90

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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.