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Finding the Fourth Proportional to 2,804.55, 3,870.14 and 1,626

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Solution

The fourth proportional to 2,804.55, 3,870.14 and 1,626 is: 2,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.55 : 3,870.14 = 1,626 : x
  2. Step 2: Convert to fraction form
    2,804.55/3,870.14 = 1,626/x
  3. Step 3: Cross multiply
    2,804.55x = 3,870.14 × 1,626
  4. Step 4: Simplify right side
    2,804.55x = 6,292,839.51
  5. Step 5: Solve for x
    x = 6,292,839.51/2,804.55
  6. Step 6: Final answer
    x = 2,243.80

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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.