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Finding the Fourth Proportional to 2,983.36, 4,117.35 and 1,804.39

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Solution

The fourth proportional to 2,983.36, 4,117.35 and 1,804.39 is: 2,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.36 : 4,117.35 = 1,804.39 : x
  2. Step 2: Convert to fraction form
    2,983.36/4,117.35 = 1,804.39/x
  3. Step 3: Cross multiply
    2,983.36x = 4,117.35 × 1,804.39
  4. Step 4: Simplify right side
    2,983.36x = 7,429,305.17
  5. Step 5: Solve for x
    x = 7,429,305.17/2,983.36
  6. Step 6: Final answer
    x = 2,490.25

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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.