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Finding the Fourth Proportional to 2,534.86, 3,499.72 and 1,739.52

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Solution

The fourth proportional to 2,534.86, 3,499.72 and 1,739.52 is: 2,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.86 : 3,499.72 = 1,739.52 : x
  2. Step 2: Convert to fraction form
    2,534.86/3,499.72 = 1,739.52/x
  3. Step 3: Cross multiply
    2,534.86x = 3,499.72 × 1,739.52
  4. Step 4: Simplify right side
    2,534.86x = 6,087,832.93
  5. Step 5: Solve for x
    x = 6,087,832.93/2,534.86
  6. Step 6: Final answer
    x = 2,401.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.