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Finding the Fourth Proportional to 2,333.97, 3,500.94 and 947.28

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Solution

The fourth proportional to 2,333.97, 3,500.94 and 947.28 is: 1,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.97 : 3,500.94 = 947.28 : x
  2. Step 2: Convert to fraction form
    2,333.97/3,500.94 = 947.28/x
  3. Step 3: Cross multiply
    2,333.97x = 3,500.94 × 947.28
  4. Step 4: Simplify right side
    2,333.97x = 3,316,370.44
  5. Step 5: Solve for x
    x = 3,316,370.44/2,333.97
  6. Step 6: Final answer
    x = 1,420.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.