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Finding the Fourth Proportional to 2,952.84, 4,427.64 and 1,004.28

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Solution

The fourth proportional to 2,952.84, 4,427.64 and 1,004.28 is: 1,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.84 : 4,427.64 = 1,004.28 : x
  2. Step 2: Convert to fraction form
    2,952.84/4,427.64 = 1,004.28/x
  3. Step 3: Cross multiply
    2,952.84x = 4,427.64 × 1,004.28
  4. Step 4: Simplify right side
    2,952.84x = 4,446,590.30
  5. Step 5: Solve for x
    x = 4,446,590.30/2,952.84
  6. Step 6: Final answer
    x = 1,505.87

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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.