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Finding the Fourth Proportional to 1,804.25, 2,489.87 and 1,007.57

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Solution

The fourth proportional to 1,804.25, 2,489.87 and 1,007.57 is: 1,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.25 : 2,489.87 = 1,007.57 : x
  2. Step 2: Convert to fraction form
    1,804.25/2,489.87 = 1,007.57/x
  3. Step 3: Cross multiply
    1,804.25x = 2,489.87 × 1,007.57
  4. Step 4: Simplify right side
    1,804.25x = 2,508,727.06
  5. Step 5: Solve for x
    x = 2,508,727.06/1,804.25
  6. Step 6: Final answer
    x = 1,390.45

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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.