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Finding the Fourth Proportional to 2,371.46, 3,555.02 and 910.32

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Solution

The fourth proportional to 2,371.46, 3,555.02 and 910.32 is: 1,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.46 : 3,555.02 = 910.32 : x
  2. Step 2: Convert to fraction form
    2,371.46/3,555.02 = 910.32/x
  3. Step 3: Cross multiply
    2,371.46x = 3,555.02 × 910.32
  4. Step 4: Simplify right side
    2,371.46x = 3,236,201.25
  5. Step 5: Solve for x
    x = 3,236,201.25/2,371.46
  6. Step 6: Final answer
    x = 1,364.65

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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.