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Finding the Fourth Proportional to 2,713.13, 4,066.71 and 1,774.95

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Solution

The fourth proportional to 2,713.13, 4,066.71 and 1,774.95 is: 2,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.13 : 4,066.71 = 1,774.95 : x
  2. Step 2: Convert to fraction form
    2,713.13/4,066.71 = 1,774.95/x
  3. Step 3: Cross multiply
    2,713.13x = 4,066.71 × 1,774.95
  4. Step 4: Simplify right side
    2,713.13x = 7,218,185.01
  5. Step 5: Solve for x
    x = 7,218,185.01/2,713.13
  6. Step 6: Final answer
    x = 2,660.47

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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.