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Finding the Fourth Proportional to 2,407.51, 3,612.75 and 946.41

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Solution

The fourth proportional to 2,407.51, 3,612.75 and 946.41 is: 1,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.51 : 3,612.75 = 946.41 : x
  2. Step 2: Convert to fraction form
    2,407.51/3,612.75 = 946.41/x
  3. Step 3: Cross multiply
    2,407.51x = 3,612.75 × 946.41
  4. Step 4: Simplify right side
    2,407.51x = 3,419,142.73
  5. Step 5: Solve for x
    x = 3,419,142.73/2,407.51
  6. Step 6: Final answer
    x = 1,420.20

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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.