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Finding the Fourth Proportional to 4,802.65, 7,207.01 and 1,880.88

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Solution

The fourth proportional to 4,802.65, 7,207.01 and 1,880.88 is: 2,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.65 : 7,207.01 = 1,880.88 : x
  2. Step 2: Convert to fraction form
    4,802.65/7,207.01 = 1,880.88/x
  3. Step 3: Cross multiply
    4,802.65x = 7,207.01 × 1,880.88
  4. Step 4: Simplify right side
    4,802.65x = 13,555,520.97
  5. Step 5: Solve for x
    x = 13,555,520.97/4,802.65
  6. Step 6: Final answer
    x = 2,822.51

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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.