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Finding the Fourth Proportional to 2,901.38, 4,005.98 and 1,783.82

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Solution

The fourth proportional to 2,901.38, 4,005.98 and 1,783.82 is: 2,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.38 : 4,005.98 = 1,783.82 : x
  2. Step 2: Convert to fraction form
    2,901.38/4,005.98 = 1,783.82/x
  3. Step 3: Cross multiply
    2,901.38x = 4,005.98 × 1,783.82
  4. Step 4: Simplify right side
    2,901.38x = 7,145,918.29
  5. Step 5: Solve for x
    x = 7,145,918.29/2,901.38
  6. Step 6: Final answer
    x = 2,462.94

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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.