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Finding the Fourth Proportional to 3,415.67, 4,713.90 and 1,923.50

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Solution

The fourth proportional to 3,415.67, 4,713.90 and 1,923.50 is: 2,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.67 : 4,713.90 = 1,923.50 : x
  2. Step 2: Convert to fraction form
    3,415.67/4,713.90 = 1,923.50/x
  3. Step 3: Cross multiply
    3,415.67x = 4,713.90 × 1,923.50
  4. Step 4: Simplify right side
    3,415.67x = 9,067,164.71
  5. Step 5: Solve for x
    x = 9,067,164.71/3,415.67
  6. Step 6: Final answer
    x = 2,654.58

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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.