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Finding the Fourth Proportional to 2,801.64, 4,200.16 and 1,159.36

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Solution

The fourth proportional to 2,801.64, 4,200.16 and 1,159.36 is: 1,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.64 : 4,200.16 = 1,159.36 : x
  2. Step 2: Convert to fraction form
    2,801.64/4,200.16 = 1,159.36/x
  3. Step 3: Cross multiply
    2,801.64x = 4,200.16 × 1,159.36
  4. Step 4: Simplify right side
    2,801.64x = 4,869,497.50
  5. Step 5: Solve for x
    x = 4,869,497.50/2,801.64
  6. Step 6: Final answer
    x = 1,738.09

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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.