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Finding the Fourth Proportional to 2,095.84, 2,892.18 and 1,164.40

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Solution

The fourth proportional to 2,095.84, 2,892.18 and 1,164.40 is: 1,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.84 : 2,892.18 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,095.84/2,892.18 = 1,164.40/x
  3. Step 3: Cross multiply
    2,095.84x = 2,892.18 × 1,164.40
  4. Step 4: Simplify right side
    2,095.84x = 3,367,654.39
  5. Step 5: Solve for x
    x = 3,367,654.39/2,095.84
  6. Step 6: Final answer
    x = 1,606.83

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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.