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Finding the Fourth Proportional to 3,415.54, 4,713.10 and 1,923.42

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Solution

The fourth proportional to 3,415.54, 4,713.10 and 1,923.42 is: 2,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.54 : 4,713.10 = 1,923.42 : x
  2. Step 2: Convert to fraction form
    3,415.54/4,713.10 = 1,923.42/x
  3. Step 3: Cross multiply
    3,415.54x = 4,713.10 × 1,923.42
  4. Step 4: Simplify right side
    3,415.54x = 9,065,270.80
  5. Step 5: Solve for x
    x = 9,065,270.80/3,415.54
  6. Step 6: Final answer
    x = 2,654.13

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1.5x scale

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.