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Finding the Fourth Proportional to 2,963.64, 4,091.46 and 1,785

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Solution

The fourth proportional to 2,963.64, 4,091.46 and 1,785 is: 2,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.64 : 4,091.46 = 1,785 : x
  2. Step 2: Convert to fraction form
    2,963.64/4,091.46 = 1,785/x
  3. Step 3: Cross multiply
    2,963.64x = 4,091.46 × 1,785
  4. Step 4: Simplify right side
    2,963.64x = 7,303,256.10
  5. Step 5: Solve for x
    x = 7,303,256.10/2,963.64
  6. Step 6: Final answer
    x = 2,464.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.