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Finding the Fourth Proportional to 2,309.60, 3,466.07 and 904.23

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Solution

The fourth proportional to 2,309.60, 3,466.07 and 904.23 is: 1,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.60 : 3,466.07 = 904.23 : x
  2. Step 2: Convert to fraction form
    2,309.60/3,466.07 = 904.23/x
  3. Step 3: Cross multiply
    2,309.60x = 3,466.07 × 904.23
  4. Step 4: Simplify right side
    2,309.60x = 3,134,107.15
  5. Step 5: Solve for x
    x = 3,134,107.15/2,309.60
  6. Step 6: Final answer
    x = 1,356.99

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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.