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Finding the Fourth Proportional to 2,095.04, 3,143.64 and 998.84

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Solution

The fourth proportional to 2,095.04, 3,143.64 and 998.84 is: 1,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.04 : 3,143.64 = 998.84 : x
  2. Step 2: Convert to fraction form
    2,095.04/3,143.64 = 998.84/x
  3. Step 3: Cross multiply
    2,095.04x = 3,143.64 × 998.84
  4. Step 4: Simplify right side
    2,095.04x = 3,139,993.38
  5. Step 5: Solve for x
    x = 3,139,993.38/2,095.04
  6. Step 6: Final answer
    x = 1,498.77

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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.