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Finding the Fourth Proportional to 2,784.65, 4,193.50 and 2,423.80

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Solution

The fourth proportional to 2,784.65, 4,193.50 and 2,423.80 is: 3,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.65 : 4,193.50 = 2,423.80 : x
  2. Step 2: Convert to fraction form
    2,784.65/4,193.50 = 2,423.80/x
  3. Step 3: Cross multiply
    2,784.65x = 4,193.50 × 2,423.80
  4. Step 4: Simplify right side
    2,784.65x = 10,164,205.30
  5. Step 5: Solve for x
    x = 10,164,205.30/2,784.65
  6. Step 6: Final answer
    x = 3,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.