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Finding the Fourth Proportional to 2,832.95, 3,909.53 and 1,713.69

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Solution

The fourth proportional to 2,832.95, 3,909.53 and 1,713.69 is: 2,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.95 : 3,909.53 = 1,713.69 : x
  2. Step 2: Convert to fraction form
    2,832.95/3,909.53 = 1,713.69/x
  3. Step 3: Cross multiply
    2,832.95x = 3,909.53 × 1,713.69
  4. Step 4: Simplify right side
    2,832.95x = 6,699,726.75
  5. Step 5: Solve for x
    x = 6,699,726.75/2,832.95
  6. Step 6: Final answer
    x = 2,364.93

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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.