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Finding the Fourth Proportional to 2,509.46, 3,461.96 and 1,763.90

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Solution

The fourth proportional to 2,509.46, 3,461.96 and 1,763.90 is: 2,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.46 : 3,461.96 = 1,763.90 : x
  2. Step 2: Convert to fraction form
    2,509.46/3,461.96 = 1,763.90/x
  3. Step 3: Cross multiply
    2,509.46x = 3,461.96 × 1,763.90
  4. Step 4: Simplify right side
    2,509.46x = 6,106,564.31
  5. Step 5: Solve for x
    x = 6,106,564.31/2,509.46
  6. Step 6: Final answer
    x = 2,433.42

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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.