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Finding the Fourth Proportional to 2,004.65, 3,005.51 and 963.53

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Solution

The fourth proportional to 2,004.65, 3,005.51 and 963.53 is: 1,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.65 : 3,005.51 = 963.53 : x
  2. Step 2: Convert to fraction form
    2,004.65/3,005.51 = 963.53/x
  3. Step 3: Cross multiply
    2,004.65x = 3,005.51 × 963.53
  4. Step 4: Simplify right side
    2,004.65x = 2,895,890.48
  5. Step 5: Solve for x
    x = 2,895,890.48/2,004.65
  6. Step 6: Final answer
    x = 1,444.59

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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.