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Finding the Fourth Proportional to 2,407.17, 3,610.75 and 846.81

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Solution

The fourth proportional to 2,407.17, 3,610.75 and 846.81 is: 1,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.17 : 3,610.75 = 846.81 : x
  2. Step 2: Convert to fraction form
    2,407.17/3,610.75 = 846.81/x
  3. Step 3: Cross multiply
    2,407.17x = 3,610.75 × 846.81
  4. Step 4: Simplify right side
    2,407.17x = 3,057,619.21
  5. Step 5: Solve for x
    x = 3,057,619.21/2,407.17
  6. Step 6: Final answer
    x = 1,270.21

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