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Finding the Fourth Proportional to 3,312.34, 4,965.10 and 1,923.29

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Solution

The fourth proportional to 3,312.34, 4,965.10 and 1,923.29 is: 2,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.34 : 4,965.10 = 1,923.29 : x
  2. Step 2: Convert to fraction form
    3,312.34/4,965.10 = 1,923.29/x
  3. Step 3: Cross multiply
    3,312.34x = 4,965.10 × 1,923.29
  4. Step 4: Simplify right side
    3,312.34x = 9,549,344.09
  5. Step 5: Solve for x
    x = 9,549,344.09/3,312.34
  6. Step 6: Final answer
    x = 2,882.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.