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Finding the Fourth Proportional to 2,954.40, 4,431.60 and 1,006.44

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Solution

The fourth proportional to 2,954.40, 4,431.60 and 1,006.44 is: 1,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.40 : 4,431.60 = 1,006.44 : x
  2. Step 2: Convert to fraction form
    2,954.40/4,431.60 = 1,006.44/x
  3. Step 3: Cross multiply
    2,954.40x = 4,431.60 × 1,006.44
  4. Step 4: Simplify right side
    2,954.40x = 4,460,139.50
  5. Step 5: Solve for x
    x = 4,460,139.50/2,954.40
  6. Step 6: Final answer
    x = 1,509.66

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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.