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Finding the Fourth Proportional to 2,725.97, 3,762.51 and 1,547.75

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Solution

The fourth proportional to 2,725.97, 3,762.51 and 1,547.75 is: 2,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.97 : 3,762.51 = 1,547.75 : x
  2. Step 2: Convert to fraction form
    2,725.97/3,762.51 = 1,547.75/x
  3. Step 3: Cross multiply
    2,725.97x = 3,762.51 × 1,547.75
  4. Step 4: Simplify right side
    2,725.97x = 5,823,424.85
  5. Step 5: Solve for x
    x = 5,823,424.85/2,725.97
  6. Step 6: Final answer
    x = 2,136.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.