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Finding the Fourth Proportional to 2,273.67, 3,412.06 and 887.02

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Solution

The fourth proportional to 2,273.67, 3,412.06 and 887.02 is: 1,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.67 : 3,412.06 = 887.02 : x
  2. Step 2: Convert to fraction form
    2,273.67/3,412.06 = 887.02/x
  3. Step 3: Cross multiply
    2,273.67x = 3,412.06 × 887.02
  4. Step 4: Simplify right side
    2,273.67x = 3,026,554.71
  5. Step 5: Solve for x
    x = 3,026,554.71/2,273.67
  6. Step 6: Final answer
    x = 1,331.13

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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.