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Finding the Fourth Proportional to 3,295.65, 4,548 and 1,803.56

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Solution

The fourth proportional to 3,295.65, 4,548 and 1,803.56 is: 2,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.65 : 4,548 = 1,803.56 : x
  2. Step 2: Convert to fraction form
    3,295.65/4,548 = 1,803.56/x
  3. Step 3: Cross multiply
    3,295.65x = 4,548 × 1,803.56
  4. Step 4: Simplify right side
    3,295.65x = 8,202,590.88
  5. Step 5: Solve for x
    x = 8,202,590.88/3,295.65
  6. Step 6: Final answer
    x = 2,488.91

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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.