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Finding the Fourth Proportional to 2,897.78, 4,346.46 and 949.93

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Solution

The fourth proportional to 2,897.78, 4,346.46 and 949.93 is: 1,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.78 : 4,346.46 = 949.93 : x
  2. Step 2: Convert to fraction form
    2,897.78/4,346.46 = 949.93/x
  3. Step 3: Cross multiply
    2,897.78x = 4,346.46 × 949.93
  4. Step 4: Simplify right side
    2,897.78x = 4,128,821.88
  5. Step 5: Solve for x
    x = 4,128,821.88/2,897.78
  6. Step 6: Final answer
    x = 1,424.82

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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.