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Finding the Fourth Proportional to 2,334.44, 3,501.78 and 947.57

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Solution

The fourth proportional to 2,334.44, 3,501.78 and 947.57 is: 1,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.44 : 3,501.78 = 947.57 : x
  2. Step 2: Convert to fraction form
    2,334.44/3,501.78 = 947.57/x
  3. Step 3: Cross multiply
    2,334.44x = 3,501.78 × 947.57
  4. Step 4: Simplify right side
    2,334.44x = 3,318,164.17
  5. Step 5: Solve for x
    x = 3,318,164.17/2,334.44
  6. Step 6: Final answer
    x = 1,421.40

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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.