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Finding the Fourth Proportional to 2,357.84, 3,537.32 and 797.92

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Solution

The fourth proportional to 2,357.84, 3,537.32 and 797.92 is: 1,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.84 : 3,537.32 = 797.92 : x
  2. Step 2: Convert to fraction form
    2,357.84/3,537.32 = 797.92/x
  3. Step 3: Cross multiply
    2,357.84x = 3,537.32 × 797.92
  4. Step 4: Simplify right side
    2,357.84x = 2,822,498.37
  5. Step 5: Solve for x
    x = 2,822,498.37/2,357.84
  6. Step 6: Final answer
    x = 1,197.07

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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.