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Finding the Fourth Proportional to 2,133.60, 2,942.93 and 1,425.17

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Solution

The fourth proportional to 2,133.60, 2,942.93 and 1,425.17 is: 1,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.60 : 2,942.93 = 1,425.17 : x
  2. Step 2: Convert to fraction form
    2,133.60/2,942.93 = 1,425.17/x
  3. Step 3: Cross multiply
    2,133.60x = 2,942.93 × 1,425.17
  4. Step 4: Simplify right side
    2,133.60x = 4,194,153.71
  5. Step 5: Solve for x
    x = 4,194,153.71/2,133.60
  6. Step 6: Final answer
    x = 1,965.76

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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.