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Finding the Fourth Proportional to 3,031.53, 4,183.16 and 1,705.16

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Solution

The fourth proportional to 3,031.53, 4,183.16 and 1,705.16 is: 2,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.53 : 4,183.16 = 1,705.16 : x
  2. Step 2: Convert to fraction form
    3,031.53/4,183.16 = 1,705.16/x
  3. Step 3: Cross multiply
    3,031.53x = 4,183.16 × 1,705.16
  4. Step 4: Simplify right side
    3,031.53x = 7,132,927.66
  5. Step 5: Solve for x
    x = 7,132,927.66/3,031.53
  6. Step 6: Final answer
    x = 2,352.91

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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.