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Finding the Fourth Proportional to 2,025, 2,793.70 and 1,278.68

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Solution

The fourth proportional to 2,025, 2,793.70 and 1,278.68 is: 1,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 2,793.70 = 1,278.68 : x
  2. Step 2: Convert to fraction form
    2,025/2,793.70 = 1,278.68/x
  3. Step 3: Cross multiply
    2,025x = 2,793.70 × 1,278.68
  4. Step 4: Simplify right side
    2,025x = 3,572,248.32
  5. Step 5: Solve for x
    x = 3,572,248.32/2,025
  6. Step 6: Final answer
    x = 1,764.07

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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.