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Finding the Fourth Proportional to 1,793.90, 2,475.50 and 1,047.90

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Solution

The fourth proportional to 1,793.90, 2,475.50 and 1,047.90 is: 1,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.90 : 2,475.50 = 1,047.90 : x
  2. Step 2: Convert to fraction form
    1,793.90/2,475.50 = 1,047.90/x
  3. Step 3: Cross multiply
    1,793.90x = 2,475.50 × 1,047.90
  4. Step 4: Simplify right side
    1,793.90x = 2,594,076.45
  5. Step 5: Solve for x
    x = 2,594,076.45/1,793.90
  6. Step 6: Final answer
    x = 1,446.05

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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.