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Finding the Fourth Proportional to 2,335.76, 3,502.94 and 1,923.87

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Solution

The fourth proportional to 2,335.76, 3,502.94 and 1,923.87 is: 2,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.76 : 3,502.94 = 1,923.87 : x
  2. Step 2: Convert to fraction form
    2,335.76/3,502.94 = 1,923.87/x
  3. Step 3: Cross multiply
    2,335.76x = 3,502.94 × 1,923.87
  4. Step 4: Simplify right side
    2,335.76x = 6,739,191.56
  5. Step 5: Solve for x
    x = 6,739,191.56/2,335.76
  6. Step 6: Final answer
    x = 2,885.23

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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.