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Finding the Fourth Proportional to 2,464.11, 3,695.54 and 904.05

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Solution

The fourth proportional to 2,464.11, 3,695.54 and 904.05 is: 1,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.11 : 3,695.54 = 904.05 : x
  2. Step 2: Convert to fraction form
    2,464.11/3,695.54 = 904.05/x
  3. Step 3: Cross multiply
    2,464.11x = 3,695.54 × 904.05
  4. Step 4: Simplify right side
    2,464.11x = 3,340,948.42
  5. Step 5: Solve for x
    x = 3,340,948.42/2,464.11
  6. Step 6: Final answer
    x = 1,355.84

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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.