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Finding the Fourth Proportional to 3,116.42, 4,300.63 and 1,719.16

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Solution

The fourth proportional to 3,116.42, 4,300.63 and 1,719.16 is: 2,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.42 : 4,300.63 = 1,719.16 : x
  2. Step 2: Convert to fraction form
    3,116.42/4,300.63 = 1,719.16/x
  3. Step 3: Cross multiply
    3,116.42x = 4,300.63 × 1,719.16
  4. Step 4: Simplify right side
    3,116.42x = 7,393,471.07
  5. Step 5: Solve for x
    x = 7,393,471.07/3,116.42
  6. Step 6: Final answer
    x = 2,372.42

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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.