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Finding the Fourth Proportional to 2,335, 3,501.36 and 1,101.37

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Solution

The fourth proportional to 2,335, 3,501.36 and 1,101.37 is: 1,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335 : 3,501.36 = 1,101.37 : x
  2. Step 2: Convert to fraction form
    2,335/3,501.36 = 1,101.37/x
  3. Step 3: Cross multiply
    2,335x = 3,501.36 × 1,101.37
  4. Step 4: Simplify right side
    2,335x = 3,856,292.86
  5. Step 5: Solve for x
    x = 3,856,292.86/2,335
  6. Step 6: Final answer
    x = 1,651.52

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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.