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Finding the Fourth Proportional to 2,368.82, 3,553.24 and 1,547.48

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Solution

The fourth proportional to 2,368.82, 3,553.24 and 1,547.48 is: 2,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.82 : 3,553.24 = 1,547.48 : x
  2. Step 2: Convert to fraction form
    2,368.82/3,553.24 = 1,547.48/x
  3. Step 3: Cross multiply
    2,368.82x = 3,553.24 × 1,547.48
  4. Step 4: Simplify right side
    2,368.82x = 5,498,567.84
  5. Step 5: Solve for x
    x = 5,498,567.84/2,368.82
  6. Step 6: Final answer
    x = 2,321.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.