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Finding the Fourth Proportional to 2,334.25, 3,502.36 and 947.23

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Solution

The fourth proportional to 2,334.25, 3,502.36 and 947.23 is: 1,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.25 : 3,502.36 = 947.23 : x
  2. Step 2: Convert to fraction form
    2,334.25/3,502.36 = 947.23/x
  3. Step 3: Cross multiply
    2,334.25x = 3,502.36 × 947.23
  4. Step 4: Simplify right side
    2,334.25x = 3,317,532.89
  5. Step 5: Solve for x
    x = 3,317,532.89/2,334.25
  6. Step 6: Final answer
    x = 1,421.24

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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.