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Finding the Fourth Proportional to 2,263.42, 3,394.40 and 947.17

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Solution

The fourth proportional to 2,263.42, 3,394.40 and 947.17 is: 1,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.42 : 3,394.40 = 947.17 : x
  2. Step 2: Convert to fraction form
    2,263.42/3,394.40 = 947.17/x
  3. Step 3: Cross multiply
    2,263.42x = 3,394.40 × 947.17
  4. Step 4: Simplify right side
    2,263.42x = 3,215,056.88
  5. Step 5: Solve for x
    x = 3,215,056.88/2,263.42
  6. Step 6: Final answer
    x = 1,420.45

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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.