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Finding the Fourth Proportional to 3,151.42, 4,726.52 and 1,203.16

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Solution

The fourth proportional to 3,151.42, 4,726.52 and 1,203.16 is: 1,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.42 : 4,726.52 = 1,203.16 : x
  2. Step 2: Convert to fraction form
    3,151.42/4,726.52 = 1,203.16/x
  3. Step 3: Cross multiply
    3,151.42x = 4,726.52 × 1,203.16
  4. Step 4: Simplify right side
    3,151.42x = 5,686,759.80
  5. Step 5: Solve for x
    x = 5,686,759.80/3,151.42
  6. Step 6: Final answer
    x = 1,804.51

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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.