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Finding the Fourth Proportional to 1,625.19, 2,437.91 and 792.03

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Solution

The fourth proportional to 1,625.19, 2,437.91 and 792.03 is: 1,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.19 : 2,437.91 = 792.03 : x
  2. Step 2: Convert to fraction form
    1,625.19/2,437.91 = 792.03/x
  3. Step 3: Cross multiply
    1,625.19x = 2,437.91 × 792.03
  4. Step 4: Simplify right side
    1,625.19x = 1,930,897.86
  5. Step 5: Solve for x
    x = 1,930,897.86/1,625.19
  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.