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Finding the Fourth Proportional to 2,464.20, 3,696.66 and 904.95

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Solution

The fourth proportional to 2,464.20, 3,696.66 and 904.95 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.20 : 3,696.66 = 904.95 : x
  2. Step 2: Convert to fraction form
    2,464.20/3,696.66 = 904.95/x
  3. Step 3: Cross multiply
    2,464.20x = 3,696.66 × 904.95
  4. Step 4: Simplify right side
    2,464.20x = 3,345,292.47
  5. Step 5: Solve for x
    x = 3,345,292.47/2,464.20
  6. Step 6: Final answer
    x = 1,357.56

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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.