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Finding the Fourth Proportional to 1,615.65, 2,421.59 and 792.69

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Solution

The fourth proportional to 1,615.65, 2,421.59 and 792.69 is: 1,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.65 : 2,421.59 = 792.69 : x
  2. Step 2: Convert to fraction form
    1,615.65/2,421.59 = 792.69/x
  3. Step 3: Cross multiply
    1,615.65x = 2,421.59 × 792.69
  4. Step 4: Simplify right side
    1,615.65x = 1,919,566.21
  5. Step 5: Solve for x
    x = 1,919,566.21/1,615.65
  6. Step 6: Final answer
    x = 1,188.11

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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.