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Finding the Fourth Proportional to 1,739.97, 2,610.34 and 507.47

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Solution

The fourth proportional to 1,739.97, 2,610.34 and 507.47 is: 761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.97 : 2,610.34 = 507.47 : x
  2. Step 2: Convert to fraction form
    1,739.97/2,610.34 = 507.47/x
  3. Step 3: Cross multiply
    1,739.97x = 2,610.34 × 507.47
  4. Step 4: Simplify right side
    1,739.97x = 1,324,666.70
  5. Step 5: Solve for x
    x = 1,324,666.70/1,739.97
  6. Step 6: Final answer
    x = 761.32

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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.