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Finding the Fourth Proportional to 2,095.38, 2,892.23 and 1,678.64

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Solution

The fourth proportional to 2,095.38, 2,892.23 and 1,678.64 is: 2,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.38 : 2,892.23 = 1,678.64 : x
  2. Step 2: Convert to fraction form
    2,095.38/2,892.23 = 1,678.64/x
  3. Step 3: Cross multiply
    2,095.38x = 2,892.23 × 1,678.64
  4. Step 4: Simplify right side
    2,095.38x = 4,854,990.11
  5. Step 5: Solve for x
    x = 4,854,990.11/2,095.38
  6. Step 6: Final answer
    x = 2,317.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.