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Finding the Fourth Proportional to 2,464.58, 3,695.81 and 904.07

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Solution

The fourth proportional to 2,464.58, 3,695.81 and 904.07 is: 1,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.58 : 3,695.81 = 904.07 : x
  2. Step 2: Convert to fraction form
    2,464.58/3,695.81 = 904.07/x
  3. Step 3: Cross multiply
    2,464.58x = 3,695.81 × 904.07
  4. Step 4: Simplify right side
    2,464.58x = 3,341,247.95
  5. Step 5: Solve for x
    x = 3,341,247.95/2,464.58
  6. Step 6: Final answer
    x = 1,355.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.