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Finding the Fourth Proportional to 2,362.42, 3,525.17 and 2,116.45

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Solution

The fourth proportional to 2,362.42, 3,525.17 and 2,116.45 is: 3,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.42 : 3,525.17 = 2,116.45 : x
  2. Step 2: Convert to fraction form
    2,362.42/3,525.17 = 2,116.45/x
  3. Step 3: Cross multiply
    2,362.42x = 3,525.17 × 2,116.45
  4. Step 4: Simplify right side
    2,362.42x = 7,460,846.05
  5. Step 5: Solve for x
    x = 7,460,846.05/2,362.42
  6. Step 6: Final answer
    x = 3,158.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.