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Finding the Fourth Proportional to 2,801.52, 4,182.48 and 2,364.12

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Solution

The fourth proportional to 2,801.52, 4,182.48 and 2,364.12 is: 3,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.52 : 4,182.48 = 2,364.12 : x
  2. Step 2: Convert to fraction form
    2,801.52/4,182.48 = 2,364.12/x
  3. Step 3: Cross multiply
    2,801.52x = 4,182.48 × 2,364.12
  4. Step 4: Simplify right side
    2,801.52x = 9,887,884.62
  5. Step 5: Solve for x
    x = 9,887,884.62/2,801.52
  6. Step 6: Final answer
    x = 3,529.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.