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Finding the Fourth Proportional to 2,095.58, 2,892.12 and 1,164.08

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Solution

The fourth proportional to 2,095.58, 2,892.12 and 1,164.08 is: 1,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.58 : 2,892.12 = 1,164.08 : x
  2. Step 2: Convert to fraction form
    2,095.58/2,892.12 = 1,164.08/x
  3. Step 3: Cross multiply
    2,095.58x = 2,892.12 × 1,164.08
  4. Step 4: Simplify right side
    2,095.58x = 3,366,659.05
  5. Step 5: Solve for x
    x = 3,366,659.05/2,095.58
  6. Step 6: Final answer
    x = 1,606.55

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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.