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Finding the Fourth Proportional to 2,143.14, 2,957.79 and 1,303.89

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Solution

The fourth proportional to 2,143.14, 2,957.79 and 1,303.89 is: 1,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.14 : 2,957.79 = 1,303.89 : x
  2. Step 2: Convert to fraction form
    2,143.14/2,957.79 = 1,303.89/x
  3. Step 3: Cross multiply
    2,143.14x = 2,957.79 × 1,303.89
  4. Step 4: Simplify right side
    2,143.14x = 3,856,632.80
  5. Step 5: Solve for x
    x = 3,856,632.80/2,143.14
  6. Step 6: Final answer
    x = 1,799.52

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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.