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Finding the Fourth Proportional to 2,778, 4,166.95 and 929.24

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Solution

The fourth proportional to 2,778, 4,166.95 and 929.24 is: 1,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778 : 4,166.95 = 929.24 : x
  2. Step 2: Convert to fraction form
    2,778/4,166.95 = 929.24/x
  3. Step 3: Cross multiply
    2,778x = 4,166.95 × 929.24
  4. Step 4: Simplify right side
    2,778x = 3,872,096.62
  5. Step 5: Solve for x
    x = 3,872,096.62/2,778
  6. Step 6: Final answer
    x = 1,393.84

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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.