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Finding the Fourth Proportional to 2,365.06, 3,547.37 and 722

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Solution

The fourth proportional to 2,365.06, 3,547.37 and 722 is: 1,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.06 : 3,547.37 = 722 : x
  2. Step 2: Convert to fraction form
    2,365.06/3,547.37 = 722/x
  3. Step 3: Cross multiply
    2,365.06x = 3,547.37 × 722
  4. Step 4: Simplify right side
    2,365.06x = 2,561,201.14
  5. Step 5: Solve for x
    x = 2,561,201.14/2,365.06
  6. Step 6: Final answer
    x = 1,082.93

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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.