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Finding the Fourth Proportional to 2,710.13, 4,064.83 and 735.89

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Solution

The fourth proportional to 2,710.13, 4,064.83 and 735.89 is: 1,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.13 : 4,064.83 = 735.89 : x
  2. Step 2: Convert to fraction form
    2,710.13/4,064.83 = 735.89/x
  3. Step 3: Cross multiply
    2,710.13x = 4,064.83 × 735.89
  4. Step 4: Simplify right side
    2,710.13x = 2,991,273.12
  5. Step 5: Solve for x
    x = 2,991,273.12/2,710.13
  6. Step 6: Final answer
    x = 1,103.74

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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.