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Finding the Fourth Proportional to 2,103.39, 2,896.16 and 1,804.23

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Solution

The fourth proportional to 2,103.39, 2,896.16 and 1,804.23 is: 2,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.39 : 2,896.16 = 1,804.23 : x
  2. Step 2: Convert to fraction form
    2,103.39/2,896.16 = 1,804.23/x
  3. Step 3: Cross multiply
    2,103.39x = 2,896.16 × 1,804.23
  4. Step 4: Simplify right side
    2,103.39x = 5,225,329.74
  5. Step 5: Solve for x
    x = 5,225,329.74/2,103.39
  6. Step 6: Final answer
    x = 2,484.24

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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.