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Finding the Fourth Proportional to 2,159.81, 2,967.62 and 1,716.95

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Solution

The fourth proportional to 2,159.81, 2,967.62 and 1,716.95 is: 2,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.81 : 2,967.62 = 1,716.95 : x
  2. Step 2: Convert to fraction form
    2,159.81/2,967.62 = 1,716.95/x
  3. Step 3: Cross multiply
    2,159.81x = 2,967.62 × 1,716.95
  4. Step 4: Simplify right side
    2,159.81x = 5,095,238.17
  5. Step 5: Solve for x
    x = 5,095,238.17/2,159.81
  6. Step 6: Final answer
    x = 2,359.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.