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Finding the Fourth Proportional to 2,122.48, 2,929.02 and 1,190.98

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Solution

The fourth proportional to 2,122.48, 2,929.02 and 1,190.98 is: 1,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.48 : 2,929.02 = 1,190.98 : x
  2. Step 2: Convert to fraction form
    2,122.48/2,929.02 = 1,190.98/x
  3. Step 3: Cross multiply
    2,122.48x = 2,929.02 × 1,190.98
  4. Step 4: Simplify right side
    2,122.48x = 3,488,404.24
  5. Step 5: Solve for x
    x = 3,488,404.24/2,122.48
  6. Step 6: Final answer
    x = 1,643.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.