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Finding the Fourth Proportional to 1,615.84, 2,423.75 and 794.69

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Solution

The fourth proportional to 1,615.84, 2,423.75 and 794.69 is: 1,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.84 : 2,423.75 = 794.69 : x
  2. Step 2: Convert to fraction form
    1,615.84/2,423.75 = 794.69/x
  3. Step 3: Cross multiply
    1,615.84x = 2,423.75 × 794.69
  4. Step 4: Simplify right side
    1,615.84x = 1,926,123.33
  5. Step 5: Solve for x
    x = 1,926,123.33/1,615.84
  6. Step 6: Final answer
    x = 1,192.03

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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.