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Finding the Fourth Proportional to 2,970.78, 4,098.87 and 1,923.90

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Solution

The fourth proportional to 2,970.78, 4,098.87 and 1,923.90 is: 2,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.78 : 4,098.87 = 1,923.90 : x
  2. Step 2: Convert to fraction form
    2,970.78/4,098.87 = 1,923.90/x
  3. Step 3: Cross multiply
    2,970.78x = 4,098.87 × 1,923.90
  4. Step 4: Simplify right side
    2,970.78x = 7,885,815.99
  5. Step 5: Solve for x
    x = 7,885,815.99/2,970.78
  6. Step 6: Final answer
    x = 2,654.46

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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.