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Finding the Fourth Proportional to 2,464.34, 3,695.15 and 1,685.22

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Solution

The fourth proportional to 2,464.34, 3,695.15 and 1,685.22 is: 2,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.34 : 3,695.15 = 1,685.22 : x
  2. Step 2: Convert to fraction form
    2,464.34/3,695.15 = 1,685.22/x
  3. Step 3: Cross multiply
    2,464.34x = 3,695.15 × 1,685.22
  4. Step 4: Simplify right side
    2,464.34x = 6,227,144.90
  5. Step 5: Solve for x
    x = 6,227,144.90/2,464.34
  6. Step 6: Final answer
    x = 2,526.90

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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.