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Finding the Fourth Proportional to 3,287.85, 4,929.84 and 1,095.99

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Solution

The fourth proportional to 3,287.85, 4,929.84 and 1,095.99 is: 1,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.85 : 4,929.84 = 1,095.99 : x
  2. Step 2: Convert to fraction form
    3,287.85/4,929.84 = 1,095.99/x
  3. Step 3: Cross multiply
    3,287.85x = 4,929.84 × 1,095.99
  4. Step 4: Simplify right side
    3,287.85x = 5,403,055.34
  5. Step 5: Solve for x
    x = 5,403,055.34/3,287.85
  6. Step 6: Final answer
    x = 1,643.34

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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.