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Finding the Fourth Proportional to 2,710.10, 4,065.72 and 1,540.64

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Solution

The fourth proportional to 2,710.10, 4,065.72 and 1,540.64 is: 2,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.10 : 4,065.72 = 1,540.64 : x
  2. Step 2: Convert to fraction form
    2,710.10/4,065.72 = 1,540.64/x
  3. Step 3: Cross multiply
    2,710.10x = 4,065.72 × 1,540.64
  4. Step 4: Simplify right side
    2,710.10x = 6,263,821.03
  5. Step 5: Solve for x
    x = 6,263,821.03/2,710.10
  6. Step 6: Final answer
    x = 2,311.29

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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.