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Finding the Fourth Proportional to 2,892.10, 4,341.03 and 1,594.18

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Solution

The fourth proportional to 2,892.10, 4,341.03 and 1,594.18 is: 2,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.10 : 4,341.03 = 1,594.18 : x
  2. Step 2: Convert to fraction form
    2,892.10/4,341.03 = 1,594.18/x
  3. Step 3: Cross multiply
    2,892.10x = 4,341.03 × 1,594.18
  4. Step 4: Simplify right side
    2,892.10x = 6,920,383.21
  5. Step 5: Solve for x
    x = 6,920,383.21/2,892.10
  6. Step 6: Final answer
    x = 2,392.86

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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.