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Finding the Fourth Proportional to 3,232.25, 4,460.51 and 1,760.25

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Solution

The fourth proportional to 3,232.25, 4,460.51 and 1,760.25 is: 2,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.25 : 4,460.51 = 1,760.25 : x
  2. Step 2: Convert to fraction form
    3,232.25/4,460.51 = 1,760.25/x
  3. Step 3: Cross multiply
    3,232.25x = 4,460.51 × 1,760.25
  4. Step 4: Simplify right side
    3,232.25x = 7,851,603.93
  5. Step 5: Solve for x
    x = 7,851,603.93/3,232.25
  6. Step 6: Final answer
    x = 2,429.15

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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.