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Finding the Fourth Proportional to 2,333.46, 3,498.21 and 947.76

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Solution

The fourth proportional to 2,333.46, 3,498.21 and 947.76 is: 1,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.46 : 3,498.21 = 947.76 : x
  2. Step 2: Convert to fraction form
    2,333.46/3,498.21 = 947.76/x
  3. Step 3: Cross multiply
    2,333.46x = 3,498.21 × 947.76
  4. Step 4: Simplify right side
    2,333.46x = 3,315,463.51
  5. Step 5: Solve for x
    x = 3,315,463.51/2,333.46
  6. Step 6: Final answer
    x = 1,420.84

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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.