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Finding the Fourth Proportional to 2,059.53, 3,090.51 and 761.91

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Solution

The fourth proportional to 2,059.53, 3,090.51 and 761.91 is: 1,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.53 : 3,090.51 = 761.91 : x
  2. Step 2: Convert to fraction form
    2,059.53/3,090.51 = 761.91/x
  3. Step 3: Cross multiply
    2,059.53x = 3,090.51 × 761.91
  4. Step 4: Simplify right side
    2,059.53x = 2,354,690.47
  5. Step 5: Solve for x
    x = 2,354,690.47/2,059.53
  6. Step 6: Final answer
    x = 1,143.31

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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.