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Finding the Fourth Proportional to 2,992, 4,130.18 and 2,152.84

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Solution

The fourth proportional to 2,992, 4,130.18 and 2,152.84 is: 2,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992 : 4,130.18 = 2,152.84 : x
  2. Step 2: Convert to fraction form
    2,992/4,130.18 = 2,152.84/x
  3. Step 3: Cross multiply
    2,992x = 4,130.18 × 2,152.84
  4. Step 4: Simplify right side
    2,992x = 8,891,616.71
  5. Step 5: Solve for x
    x = 8,891,616.71/2,992
  6. Step 6: Final answer
    x = 2,971.80

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Why These Related Problems?

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