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Finding the Fourth Proportional to 2,333.85, 3,500.71 and 947.15

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Solution

The fourth proportional to 2,333.85, 3,500.71 and 947.15 is: 1,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.85 : 3,500.71 = 947.15 : x
  2. Step 2: Convert to fraction form
    2,333.85/3,500.71 = 947.15/x
  3. Step 3: Cross multiply
    2,333.85x = 3,500.71 × 947.15
  4. Step 4: Simplify right side
    2,333.85x = 3,315,697.48
  5. Step 5: Solve for x
    x = 3,315,697.48/2,333.85
  6. Step 6: Final answer
    x = 1,420.70

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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.