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Finding the Fourth Proportional to 2,353, 3,235.62 and 2,041.96

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Solution

The fourth proportional to 2,353, 3,235.62 and 2,041.96 is: 2,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353 : 3,235.62 = 2,041.96 : x
  2. Step 2: Convert to fraction form
    2,353/3,235.62 = 2,041.96/x
  3. Step 3: Cross multiply
    2,353x = 3,235.62 × 2,041.96
  4. Step 4: Simplify right side
    2,353x = 6,607,006.62
  5. Step 5: Solve for x
    x = 6,607,006.62/2,353
  6. Step 6: Final answer
    x = 2,807.91

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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.