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Finding the Fourth Proportional to 3,415.65, 4,713.20 and 1,923.52

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Solution

The fourth proportional to 3,415.65, 4,713.20 and 1,923.52 is: 2,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.65 : 4,713.20 = 1,923.52 : x
  2. Step 2: Convert to fraction form
    3,415.65/4,713.20 = 1,923.52/x
  3. Step 3: Cross multiply
    3,415.65x = 4,713.20 × 1,923.52
  4. Step 4: Simplify right side
    3,415.65x = 9,065,934.46
  5. Step 5: Solve for x
    x = 9,065,934.46/3,415.65
  6. Step 6: Final answer
    x = 2,654.23

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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.