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Finding the Fourth Proportional to 2,370.56, 3,269.60 and 1,740.90

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Solution

The fourth proportional to 2,370.56, 3,269.60 and 1,740.90 is: 2,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.56 : 3,269.60 = 1,740.90 : x
  2. Step 2: Convert to fraction form
    2,370.56/3,269.60 = 1,740.90/x
  3. Step 3: Cross multiply
    2,370.56x = 3,269.60 × 1,740.90
  4. Step 4: Simplify right side
    2,370.56x = 5,692,046.64
  5. Step 5: Solve for x
    x = 5,692,046.64/2,370.56
  6. Step 6: Final answer
    x = 2,401.14

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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.