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Finding the Fourth Proportional to 2,762.34, 4,134.93 and 2,064.90

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Solution

The fourth proportional to 2,762.34, 4,134.93 and 2,064.90 is: 3,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.34 : 4,134.93 = 2,064.90 : x
  2. Step 2: Convert to fraction form
    2,762.34/4,134.93 = 2,064.90/x
  3. Step 3: Cross multiply
    2,762.34x = 4,134.93 × 2,064.90
  4. Step 4: Simplify right side
    2,762.34x = 8,538,216.96
  5. Step 5: Solve for x
    x = 8,538,216.96/2,762.34
  6. Step 6: Final answer
    x = 3,090.94

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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.