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Finding the Fourth Proportional to 3,415.23, 4,712.94 and 1,923.12

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Solution

The fourth proportional to 3,415.23, 4,712.94 and 1,923.12 is: 2,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.23 : 4,712.94 = 1,923.12 : x
  2. Step 2: Convert to fraction form
    3,415.23/4,712.94 = 1,923.12/x
  3. Step 3: Cross multiply
    3,415.23x = 4,712.94 × 1,923.12
  4. Step 4: Simplify right side
    3,415.23x = 9,063,549.17
  5. Step 5: Solve for x
    x = 9,063,549.17/3,415.23
  6. Step 6: Final answer
    x = 2,653.86

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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.