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Finding the Fourth Proportional to 1,793.54, 2,474.67 and 1,557.07

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Solution

The fourth proportional to 1,793.54, 2,474.67 and 1,557.07 is: 2,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.54 : 2,474.67 = 1,557.07 : x
  2. Step 2: Convert to fraction form
    1,793.54/2,474.67 = 1,557.07/x
  3. Step 3: Cross multiply
    1,793.54x = 2,474.67 × 1,557.07
  4. Step 4: Simplify right side
    1,793.54x = 3,853,228.23
  5. Step 5: Solve for x
    x = 3,853,228.23/1,793.54
  6. Step 6: Final answer
    x = 2,148.40

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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.