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Finding the Fourth Proportional to 2,357.90, 3,534.42 and 797.39

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Solution

The fourth proportional to 2,357.90, 3,534.42 and 797.39 is: 1,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.90 : 3,534.42 = 797.39 : x
  2. Step 2: Convert to fraction form
    2,357.90/3,534.42 = 797.39/x
  3. Step 3: Cross multiply
    2,357.90x = 3,534.42 × 797.39
  4. Step 4: Simplify right side
    2,357.90x = 2,818,320.00
  5. Step 5: Solve for x
    x = 2,818,320.00/2,357.90
  6. Step 6: Final answer
    x = 1,195.27

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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.