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Finding the Fourth Proportional to 1,798.65, 2,480.09 and 1,466.04

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Solution

The fourth proportional to 1,798.65, 2,480.09 and 1,466.04 is: 2,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.65 : 2,480.09 = 1,466.04 : x
  2. Step 2: Convert to fraction form
    1,798.65/2,480.09 = 1,466.04/x
  3. Step 3: Cross multiply
    1,798.65x = 2,480.09 × 1,466.04
  4. Step 4: Simplify right side
    1,798.65x = 3,635,914.81
  5. Step 5: Solve for x
    x = 3,635,914.81/1,798.65
  6. Step 6: Final answer
    x = 2,021.47

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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.