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Finding the Fourth Proportional to 2,060.07, 3,090.42 and 761.45

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Solution

The fourth proportional to 2,060.07, 3,090.42 and 761.45 is: 1,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.07 : 3,090.42 = 761.45 : x
  2. Step 2: Convert to fraction form
    2,060.07/3,090.42 = 761.45/x
  3. Step 3: Cross multiply
    2,060.07x = 3,090.42 × 761.45
  4. Step 4: Simplify right side
    2,060.07x = 2,353,184.86
  5. Step 5: Solve for x
    x = 2,353,184.86/2,060.07
  6. Step 6: Final answer
    x = 1,142.28

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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.